Complex representations of finite Chevalley groups
Modular representations
Quantum groups/Canonical bases
Algebraic groups/Character sheaves
Symmetric spaces
Coxeter groups
P-adic groups/loop groups
Total positivity
G. Lusztig, Model de geometrie afina plana peste un corp finit, Studii Cerc. Mat. 17 (1965), 1337-1340.
G.Lusztig, Constructia fibrarilor universale peste poliedre arbitrare, Studii Cerc. Mat. 18 (1965), 1215-1219.
G.Lusztig and H.Moscovici, Demonstration du théoreme sur la suite spectrale d'un fibré au sens de Kan, Proc. Camb. Phil. Soc. 64 (1968), 293-297.
G.Lusztig, Sur les complexes elliptiques fibrés, C.R. Acad. Sci. Paris(A). 266 (1968), 914-917.
G.Lusztig, Sur les actions libres des groupes finis, Bull. Acad. Polon. Sci. 16 (1968), 461-463.
G.Lusztig, Coomologia complexelor eliptice, Studii Cerc. Mat. 21 (1969), 38-83.
G.Lusztig, A property of certain non-degenerate holomorphic vector fields, An. Univ. Timisoara. 7 (1969), 73-76.
G.Lusztig, J.Milnor and F.P.Peterson, Semicharacteristics and cobordism, Topology. 8 (1969), 357-359.
G.Lusztig, Remarks on the holomorphic Lefschetz formula, Analyse globale, Presses de l'Univ.de Montréal, 1971, pp. 193-204.
G.Lusztig and J.Dupont, On manifolds satisfying $w_1^2 =0$, Topology. 10 (1971), 81-92.
G.Lusztig, Novikov's higher signature and families of elliptic operators, J. Diff. Geom. 7 (1972), 229-256.
G.Lusztig, On the discrete series representations of the general linear groups over a finite field, Bull. Amer. Math. Soc. 79 (1973), 550-554.
G.Lusztig, , The discrete series of $GL_n$ over a finite field, Ann. Math. Studies 81, Princeton U.Press, 1974.
G.Lusztig, Introduction to elliptic operators, Global Analysis and applications, Internat.Atomic Energy Agency, Vienna, 1974, pp. 187-193.
G.Lusztig and R.W.Carter, On the modular representations of the general linear and symmetric groups, Math. Z. 136 (1974), 193-242.
G.Lusztig and R.W.Carter, Modular representations of the general linear and symmetric groups, Proc.2nd Int.Conf. Th.Groups 1973, LNM 372, Springer Verlag, 1974, pp. 218-220.
G.Lusztig, On the discrete series representations of the classical groups over a finite field, Proc.Int.Congr.Math.,Vancouver 1974, pp. 465-470.
G.Lusztig, Sur la conjecture de Macdonald, C.R. Acad. Sci. Paris(A). 280 (1975), 371-320.
G.Lusztig, A note on counting nilpotent matrices of fixed rank, Bull. Lond. Math. Soc. 8 (1976), 77-80.
G.Lusztig, Divisibility of projective modules of finite Chevalley groups by the Steinberg module, Bull. Lond. Math. Soc. 8 (1976), 130-134.
G.Lusztig and R.W.Carter, Modular representations of finite groups of Lie type, Proc. Lond. Math. Soc. 32 (1976), 347-384.
P.Deligne and G.Lusztig, Representations of reductive groups over finite fields, Ann. Math. 103 (1976), 103-161.
G.Lusztig, On the Green polynomials of classical groups, Proc. Lond. Math. Soc. 33 (1976), 443-475.
G.Lusztig, Coxeter orbits and eigenspaces of Frobenius, Inv. Math. 28 (1976), 101-159.
G.Lusztig, On the finiteness of the number of unipotent classes, Inv. Math. 34 (1976), 201-213.
G.Lusztig, J.A.Green and G.I.Lehrer, On the degrees of certain group characters, Quart. J. Math. 27 (1976), 1-4.
G.Lusztig and B.Srinivasan, The characters of the finite unitary groups, J. Alg. 49 (1977), 167-171.
G.Lusztig, Classification des représentations irréductibles des groupes classiques finis, C.R. Acad. Sci. Paris(A). 284 (1977), 473-476.
G.Lusztig, , Representations of finite Chevalley groups, Regional Conf. Series in Math. 39, Amer. Math. Soc., 1978.
W.M.Beynon and G.Lusztig, Some numerical results on the characters of exceptional Weyl groups, Math. Proc. Camb. Phil. Soc. 84 (1978), 417-426.
G.Lusztig, Some remarks on the supercuspidal representations of p-adic semisimple groups, Proc. Symp. Pure Math.33(1), Amer. Math. Soc., 1979, pp. 171-175.
G.Lusztig, On the reflection representation of a finite Chevalley group,, Representation theory of Lie groups, LMS Lect.Notes Ser.34, Cambridge U.Press, 1979, pp. 325-337.
G.Lusztig, Unipotent representations of a finite Chevalley group of type $E_8$, Quart. J. Math. 30 (1979), 315-338.
G.Lusztig and N.Spaltenstein, Induced unipotent classes, J. Lond. Math. Soc. 19 (1979), 41-52.
G.Lusztig, A class of irreducible representations of a Weyl group, Proc. Kon. Nederl. Akad.(A). 82 (1979), 323-335.
D.Kazhdan and G.Lusztig, Representations of Coxeter groups and Hecke algebras, Inv. Math. 53 (1979), 165-184.
D.Kazhdan and G.Lusztig, A topological approach to Springer's representations, Adv. Math. 38 (1980), 222-228.
D.Kazhdan and G.Lusztig, Schubert varieties and Poincaré duality, Proc. Symp. Pure Math.36, Amer. Math. Soc., 1980, pp. 185-203.
G.Lusztig, Some problems in the representation theory of finite Chevalley groups, Proc. Symp. Pure Math.37, Amer. Math. Soc., 1980, pp. 313-317.
G.Lusztig, On the unipotent characters of the exceptional groups over finite fields, Inv. Math. 60 (1980), 173-192.
G.Lusztig, On a theorem of Benson and Curtis, J. Alg. 71 (1981), 490-498.
G.Lusztig, Green polynomials and singularities of unipotent classes, Adv. Math. 42 (1981), 169-178.
G.Lusztig, Unipotent characters of the symplectic and odd orthogonal groups over a finite field, Inv. Math. 64 (1981), 263-296.
G.Lusztig, Unipotent characters of the even orthogonal groups over a finite field, Trans. Amer. Math. Soc. 272 (1982), 733-751.
P.Deligne and G.Lusztig, Duality for representations of a reductive group over a finite field, J. Alg. 74 (1982), 284-291.
D.Alvis and G.Lusztig, On Springer's correspondence for simple groups of type $E_n(n=6,7,8)$, Math. Proc. Camb. Phil. Soc. 92 (1982), 65-72.
D.Alvis and G.Lusztig, The representations and generic degrees of the Hecke algebras of type $H_4$, J. reine und angew. math. 336 (1982), 201-212; Erratum 449 (1994), 217-281.
G.Lusztig, A class of irreducible representations of a Weyl group II, Proc. Kon. Nederl. Akad.(A). 85 (1982), 219-226.
G.Lusztig and D.Vogan, Singularities of closures of K-orbits on a flag manifold, Inv. Math. 71 (1983), 365-379.
P.Deligne and G.Lusztig, Duality for representations of a reductive group over a finite field II, J. Alg. 81 (1983), 540-549.
G.Lusztig, Singularities, character formulas and a $q$-analog of weight multiplicities, Astérisque. 101-102 (1983), 208-229.
G.Lusztig, Some examples of square integrable representations of semisimple p-adic groups, Trans. Amer. Math. Soc. 227 (1983), 623-653.
G.Lusztig, Left cells in Weyl groups, Lie groups representations, LNM 1024, Springer Verlag, 1983, pp. 99-111.
G.Lusztig, Open problems in algebraic groups, Proc.12th Int.Symp., Taniguchi Foundation, Katata, 1983, pp. 14-14.
G.Lusztig, , Characters of reductive groups over a finite field, Ann.Math.Studies 107, Princeton U.Press, 1984.
G.Lusztig, Characters of reductive groups over finite fields, Proc.Int.Congr.Math. Warsaw 1983, North Holland, 1984, pp. 877-880.
G.Lusztig, Intersection cohomology complexes on a reductive group, Inv. Math. 75 (1984), 205-272.
G.Lusztig, Cells in affine Weyl groups, Algebraic groups and related topics, Adv. Stud. Pure Math. 6, North-Holland and Kinokuniya, 1985, pp. 255-287.
G.Lusztig and N.Spaltenstein, On the generalized Springer correspondence for classical groups, Algebraic groups and related topics, Adv. Stud. Pure Math. 6, North-Holland and Kinokuniya, 1985, pp. 289-316.
G.Lusztig, The two sided cells of the affine Weyl group of type A, Infinite dimensional groups with applications, MSRI Publ.4, Springer Verlag, 1985, pp. 275-283.
G.Lusztig, Character sheaves I, Adv. Math. 56 (1985), 193-237.
G.Lusztig, Character sheaves II, Adv.Math. 57 (1985), 226-265.
G.Lusztig, Character sheaves III, Adv.Math. 57 (1985), 266-315.
G.Lusztig, Equivariant K-theory and representations of Hecke algebras, Proc. Amer. Math. Soc. 94 (1985), 337-342.
D.Kazhdan and G.Lusztig, Equivariant K-theory and representations of Hecke algebras II, Inv. Math. 80 (1985), 209-231.
G.Lusztig, Character sheaves IV, Adv. Math. 59 (1986), 1-63.
G.Lusztig, Character sheaves V, Adv. Math. 61 (1986), 103-155.
G.Lusztig, Sur les cellules gauches des groupes de Weyl, C.R. Acad. Sci. Paris(A). 302 (1986), 5-8.
G.Lusztig, On the character values of finite Chevalley groups at unipotent elements, J. Alg. 104 (1986), 146-194.
D.Kazhdan and G.Lusztig, Proof of the Deligne-Langlands conjecture for Hecke algebras, Inv. Math. 87 (1987), 153-215.
G.Lusztig, Cells in affine Weyl groups II, J. Alg. 109 (1987), 536-548.
G.Lusztig, Fourier transforms on a semisimple Lie algebra over $F_q$,, Algebraic Groups Utrecht 1986, LNM 1271, Springer Verlag, 1987, pp. 177-188.
G.Lusztig, Cells in affine Weyl groups III, J. Fac. Sci. Tokyo U.(IA). 34 (1987), 223-243.
G.Lusztig, Introduction to character sheaves, Proc. Symp. Pure Math. 47(1), Amer. Math. Soc., 1987, pp. 165-180.
G.Lusztig, Leading coefficients of character values of Hecke algebras, Proc. Symp. Pure Math. 47(2), Amer. Math. Soc., 1987, pp. 235-262.
C.De Concini, G.Lusztig and C.Procesi, Homology of the zero set of a nilpotent vector field on a flag manifold, J. Amer. Math. Soc. 1 (1988), 15-34.
G.Lusztig, Quantum deformations of certain simple modules over enveloping algebras, Adv.Math. 70 (1988), 237-249.
D.Kazhdan and G.Lusztig, Fixed point varieties on affine flag manifolds, Isr. J. Math. 62 (1988), 129-168.
G.Lusztig, Cuspidal local systems and graded Hecke algebras I, Publ. Math. I.H.E.S. 67 (1988), 145-202.
G.Lusztig and N.Xi, Canonical left cells in affine Weyl groups, Adv.Math. 72 (1988), 284-288.
G.Lusztig, On representations of reductive groups with disconnected center, Astérisque. 168 (1988), 157-166.
G.Lusztig, Affine Hecke algebras and their graded version, J. Amer. Math. Soc. 2 (1989), 599-635.
G.Lusztig, Cells in affine Weyl groups IV, J. Fac. Sci. Tokyo U.(IA). 36 (1989), 297-328.
G.Lusztig, Representations of affine Hecke algebras, Astérisque. 171-172 (1989), 73-84.
G.Lusztig, On quantum groups, J. Alg. 131 (1990), 466-475.
G.Lusztig, Green functions and character sheaves, Ann. Math. 131 (1990), 355-408.
G.Lusztig, Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. Amer. Math. Soc. 3 (1990), 257-296.
G.Lusztig, Quantum groups at roots of 1, Geom.Ded. 35 (1990), 89-114.
G.Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), 447-498.
A.A.Beilinson, G.Lusztig and R.MacPherson, A geometric setting for the quantum deformation of $GL_n$, Duke Math. J. 61 (1990), 655-677.
G.Lusztig, Symmetric spaces over a finite field, The Grothendieck Festschrift III, Progr. in Math. 88, Birkhäuser Boston, 1990, pp. 57-81.
G.Lusztig, Canonical bases arising from quantized enveloping algebras II, Progr.of Theor. Phys. Suppl. 102 (1990), 175-201.
D.Kazhdan and G.Lusztig, Affine Lie algebras and quantum groups, Int. Math. Res. Notices. (1991), 21-29.
G.Lusztig, Quivers, perverse sheaves and enveloping algebras, J. Amer. Math. Soc. 4 (1991), 365-421.
G.Lusztig and J.M.Smelt, Fixed point varieties in the space of lattices, Bull. Lond. Math. Soc. 23 (1991), 213-218.
G.Lusztig, Intersection cohomology methods in representation theory, Proc. Int. Congr. Math. Kyoto 1990, Springer Verlag, 1991, pp. 155-174.
G.Lusztig, A unipotent support for irreducible representations, Adv. Math. 94 (1992), 139-179.
G.Lusztig, Canonical bases in tensor products, Proc. Nat. Acad. Sci. 89 (1992), 8177-8179.
G.Lusztig, Remarks on computing irreducible characters, J. Amer. Math. Soc. 5 (1992), 971-986.
G.Lusztig, Introduction to quantized enveloping algebras, New developments in Lie theory and their applications, ed.J.Tirao, Progr.in Math.105, Birkhäuser Boston, 1992, pp. 49-65.
G.Lusztig and J.Tits, The inverse of a Cartan matrix, An.Univ.Timisoara. 30 (1992), 17-23.
I.Grojnowski and G.Lusztig, On bases of irreducible representations of quantum $GL_n$, Kazhdan-Lusztig theory and related topics, Contemp.Math.139, 1992, pp. 167-174.
D.Kazhdan and G.Lusztig, Tensor structures arising from affine Lie algebras I, J. Amer. Math. Soc. 6 (1993), 905-947.
D.Kazhdan and G.Lusztig, Tensor structures arising from affine Lie algebras II, J. Amer. Math. Soc. 6 (1993), 949-1011.
G.Lusztig, Coxeter groups and unipotent representations, Astérisque. 212 (1993), 191-203.
I.Grojnowski and G.Lusztig, A comparison of bases of quantized enveloping algebras, Linear algebraic groups and their representations, Contemp.Math.153, 1993, pp. 11-19.
G.Lusztig, Tight monomials in quantized enveloping algebras, Quantum deformations of algebras and their representations, ed. A.Joseph et al., Isr. Math. Conf. Proc. 7, Amer. Math. Soc., 1993, pp. 117-132.
G.Lusztig, Exotic Fourier transform, Duke Math.J. 73 (1994), 227-241.
G.Lusztig, Vanishing properties of cuspidal local systems, Proc. Nat. Acad. Sci. 91 (1994), 1438-1439.
D.Kazhdan and G.Lusztig, Tensor structures arising from affine Lie algebras III, J. Amer. Math. Soc. 7 (1994), 335-381.
D.Kazhdan and G.Lusztig, Tensor structures arising from affine Lie algebras IV, J. Amer. Math. Soc. 7 (1994), 383-453.
G.Lusztig, Monodromic systems on affine flag manifolds, Proc. Roy. Soc. Lond.(A). 445 (1994), 231-246; Erratum 450 (1995), 731-732.
G.Lusztig, Problems on canonical bases, Algebraic groups and their generalizations: quantum and infinite dimensionalmethods, Proc. Symp. Pure Math. 56(2), Amer. Math. Soc., 1994, pp. 169-176.
G.Lusztig, Total positivity in reductive groups, Lie theory and geometry, Progr.in Math. 123, Birkhäuser Boston, 1994, pp. 531-568.
G.Lusztig, Study of perverse sheaves arising from graded Lie algebras, Adv.Math. 112 (1995), 147-217.
G.Lusztig, Cuspidal local systems and graded Hecke algebras II, Representations of groups, ed. B.Allison et al., Canad. Math. Soc. Conf. Proc.16, Amer. Math. Soc., 1995, pp. 217-275.
G.Lusztig, Quantum groups at $v=\infty$, Functional analysis on the eve of the 21st century, vol.I, Progr.in Math. 131, Birkhäuser Boston, 1995, pp. 199-221.
G.Lusztig, Classification of unipotent representations of simple $p$-adic groups, Int. Math. Res. Notices. (1995), 517-589.
G.Lusztig, An algebraic-geometric parametrization of the canonical basis, Adv. Math. 120 (1996), 173-190.
G.Lusztig, Affine Weyl groups and conjugacy classes in Weyl groups, Transform. Groups. (1996), 83-97.
G.Lusztig, Braid group actions and canonical bases, Adv. Math. 122 (1996), 237-261.
G.Lusztig, Non local finiteness of a $W$-graph, Represent.Th. 1 (1997), 25-30.
G.Lusztig, Cohomology of classifying spaces and hermitian representations, Represent.Th. 1 (1997), 31-36.
C.K.Fan and G.Lusztig, Factorization of certain exponentials in Lie groups, Algebraic groups and Lie groups, ed. G.I.Lehrer, Cambridge U.Press, 1997, pp. 215-218.
G.Lusztig, Total positivity and canonical bases, Algebraic groups and Lie groups, ed. G.I.Lehrer, Cambridge U.Press, 1997, pp. 281-295.
G.Lusztig, Notes on unipotent classes, Asian J.Math. 1 (1997), 194-207.
G.Lusztig, Cells in affine Weyl groups and tensor categories, Adv. Math. 129 (1997), 85-98.
G.Lusztig, A comparison of two graphs, Int. Math. Res. Notices. (1997), 639-640.
G.Lusztig, Constructible functions on the Steinberg variety, Adv. Math. 130 (1997), 287-310.
G.Lusztig, Total positivity in partial flag manifolds, Represent.Th. 2 (1998), 70-78.
G.Lusztig, Introduction to total positivity, Positivity in Lie theory: open problems, ed. J.Hilgert et al., de Gruyter, 1998, pp. 133-145.
G.Lusztig, On quiver varieties, Adv.Math. 136 (1998), 141-182.
G.Lusztig, Canonical bases and Hall algebras, Representation Theories and Algebraic Geometry, ed. A.Broer et al., Kluwer Acad.Publ., 1998, pp. 365-399.
G.Lusztig, Bases in equivariant $K$-theory, Represent.Th. 2 (1998), 298-369.
G.Lusztig, Homology bases arising from reductive groups over a finite field, Algebraic groups and their representations, ed. R.W.Carter et al., Kluwer Acad. Publ., 1998, pp. 53-72.
G.Lusztig, Aperiodicity in quantum affine $\mathfrak{g}\mathfrak{l}_n$, Asian J. Math. 3 (1999), 147-178.
G.Lusztig, Bases in equivariant $K$-theory II, Represent. Th. 3 (1999), 281-353.
G.Lusztig, A survey of group representations, Nieuw Archief voor Wiskunde. 17 (1999), 483-489.
G.Lusztig, Subregular nilpotent elements and bases in $K$-theory, Canad. J. Math. 51 (1999), 1194-1225.
G.Lusztig, Recollections about my teacher, Michael Atiyah, Asian J. Math. 3 (1999), iv-v.
G.Lusztig, Fermionic form and Betti numbers, arxiv:math/0005010, arxiv:QA/0005010.
G.Lusztig, Quiver varieties and Weyl group actions, Ann. Inst. Fourier. 50 (2000), 461-489.
G.Lusztig, $G(F_q)$-invariants in irreducible $G(F_{q^2})$-modules, Represent. Th. 4 (2000), 446-465.
G.Lusztig, Remarks on quiver varieties, Duke Math. J. 105 (2000), 239-265.
G.Lusztig, Transfer maps for quantum affine $\mathfrak{s}\mathfrak{l}_n$, Representations and quantizations, ed. J.Wang et al., China Higher Ed.Press and Springer Verlag, 2000.
G.Lusztig, Representation theory in characteristic $p$, Taniguchi Conf. on Math. Nara'98, Adv. Stud. Pure Math. 31, Math. Soc. Japan, 2001, pp. 167-178.
G.Lusztig, Cuspidal local systems and graded Hecke algebras III, arxiv:math/0108173, Represent.Th. 6 (2002), 202-242.
G.Lusztig, Classification of unipotent representations of simple $p$-adic groups II, arxiv:math/0111248, Represent.Th. 6 (2002), 243-289.
G.Lusztig, Constructible functions on varieties attached to quivers, Studies in memory of I. Schur, Progr. in Math. 210, Birkhäuser Boston, 2002, pp. 177-223.
G.Lusztig, Rationality properties of unipotent representations, arxiv:math/0103232, J. Alg. 258 (2002), 1-22.
G.Lusztig, Notes on affine Hecke algebras, Iwahori-Hecke algebras and their representation theory, ed. M.W.Baldoni et al., LNM 1804, Springer Verlag, 2002, pp. 71-103.
G.Lusztig, , Hecke algebras with unequal parameters, CRM Monograph Ser.18, Amer. Math. Soc., 2030, additional material in version 2 (2014).
G.Lusztig, Homomorphisms of the alternating group $A_5$ into reductive groups, arxiv:math/0202111, J. Alg. 260 (2003), 298-322.
G.Lusztig, Character sheaves on disconnected groups I, arxiv:math/0305206, Represent. Th. 7 (2003), 374-403; Erratum 8 (2004), 179-179.
G.Lusztig, Representations of reductive groups over finite rings, arxiv:math/0208037, Represent. Th. 8 (2004), 1-14.
G.Lusztig, Character sheaves on disconnected groups II, arxiv:math/0307268, Represent. Th. 8 (2004), 72-124.
G.Lusztig, Character sheaves on disconnected groups III, arxiv:math/0308126, Represent. Th. 8 (2004), 125-144.
G.Lusztig, Character sheaves on disconnected groups IV, arxiv:math/0312338, Represent. Th. 8 (2004), 145-178.
G.Lusztig, Parabolic character sheaves I, arxiv:math/0302151, Moscow Math.J. 4 (2004), 153-179.
G.Lusztig, An induction theorem for Springer's representations, Adv.Stud.Pure Math.40, Math. Soc. Japan, Kinokuniya, 2004, pp. 253-259.
G.Lusztig, Character sheaves on disconnected groups V, arxiv:math/0403048, Represent. Th. 8 (2004), 346-376.
G.Lusztig, Character sheaves on disconnected groups VI, arxiv:math/0406115, Represent.Th. 8 (2004), 377-413.
G.Lusztig, Parabolic character sheaves II, arxiv:math/0302317, Moscow Math.J. 4 (2004), 869-896.
G.Lusztig, Convolution of almost characters, arxiv:math/0311143, Asian J. Math. 8 (2004), 769-772.
G.Lusztig, Character sheaves on disconnected groups VII, arxiv:math/0412168, Represent. Th. 9 (2005), 209-266.
G.Lusztig, Unipotent elements in small characteristic, arxiv:math/0503739, Transform. Groups. 10 (2005), 449-487.
G.Lusztig, Character sheaves and generalizations, arxiv:math/0309134, The Unity of Mathematics, ed. P.Etingof et al., Progress in Math.244, Birkhäuser Boston, 2006, pp. 443-455.
G.Lusztig, A $q$-analogue of an identity of N.Wallach, arxiv:math/0311158, Studies in Lie theory, ed. J.Bernstein et al., Progress in Math. 243, Birkhäuser Boston, 2006, pp. 405-410.
G.Lusztig, Character sheaves on disconnected groups VIII, arxiv:math/0509356, Represent. Th. 10 (2006), 314-352.
G.Lusztig, Character sheaves on disconnected groups IX, arxiv:math/0601504, Represent. Th. 10 (2006), 353-379.
G.Lusztig, A class of perverse sheaves on a partial flag manifold, arxiv:math/0610406, Represent. Th. 11 (2007), 122-171.
X.He and G.Lusztig, Singular supports for character sheaves on a group compactification, arxiv:math/0511050, Geom. and Funct.Analysis. 17 (2007), 1915-1923.
G.Lusztig, A survey of total positivity, arxiv:0705.3842, Milan J. Math. 76 (2007), 1-10.
G.Lusztig, Generic character sheaves on disconnected groups and character values, arxiv:0704.0999, Represent. Th. 12 (2008), 225-235.
G.Lusztig, Unipotent elements in small characteristic II, arxiv:math/0612320, Transform. Groups. 13 (2008), 773-797.
G.Lusztig, Study of a $Z$-form of the coordinate ring of a reductive group, arxiv:0709.1286, J. Amer. Math. Soc. 22 (2009), 739-769.
S.Kumar, G.Lusztig and D.Prasad, Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups, arxiv:math/0701615, Representation theory, ed. Z.Lin, Contemp. Math. 478, 2009, pp. 99-101.
G.Lusztig, Twelve bridges from a reductive group to its Langlands dual, arxiv:0708.3430, Representation theory, ed. Z.Lin, Contemp. Math.478, 2009, pp. 125-143.
G.Lusztig, Character sheaves on disconnected groups X, arxiv:0807.2618, Represent. Th. 13 (2009), 82-140.
G.Lusztig, Unipotent classes and special Weyl group representations, arxiv:0711.4287, J. Alg. 321 (2009), 3418-3449.
G.Lusztig, Notes on character sheaves, arxiv:0805.0787, Moscow Math.J. 9 (2009), 91-109.
G.Lusztig, Graded Lie algebras and intersection cohomology, arxiv:math/0604535, Representation theory of algebraic groups and quantum groups, ed. A.Gyoja et al., Progress in Math.284, Birkhäuser, 2010, pp. 191-224.
G.Lusztig, Unipotent elements in small characteristic IV, arxiv:0909.2441, Transform. Groups. 14 (2010),.
G.Lusztig, Parabolic character sheaves III, arxiv:0911.4318, Moscow Math.J. 10 (2010), 603-609.
G.Lusztig, Unipotent elements in small characteristic III, arxiv:0812.0756, J. Alg. 329 (2011), 163-189.
G.Lusztig, Piecewise linear parametrization of canonical bases, arxiv:0807.2824, Pure Appl. Math. Quart. 7 (2011), 783-796.
G.Lusztig, On some partitions of a flag manifold, arxiv:0906.1505, Asian J. Math. 15 (2011), 1-8.
G.Lusztig, From conjugacy classes in the Weyl group to unipotent classes, arxiv:1003.0412, Represent.Th. 15 (2011), 494-530.
G.Lusztig, From groups to symmetric spaces, arxiv:0908.4414, Contemp. Math. 557 (2011), 245-258.
G.Lusztig, Study of antiorbital complexes, arxiv:0910.4147, Contemp. Math. 557 (2011), 259-287.
G.Lusztig, On C-small conjugacy classes in a reductive group, arxiv:1005.4313, Transfor. Groups. 16 (2011), 807-825.
G.Lusztig, Bruhat decomposition and applications, arxiv:1006.5004.
G.Lusztig, On certain varieties attached to a Weyl group element, arxiv:1012.2074, Bull. Inst. Math. Acad. Sinica (N.S.). 6 (2011), 377-414.
X.He and G.Lusztig, A generalization of Steinberg's cross-section, arxiv:1103.1769, J. Amer. Math. Soc. 25 (2012), 739-757.
G.Lusztig, Elliptic elements in a Weyl group: a homogeneity property, arxiv:1007.5040, Represent. Th. 16 (2012), 127-151.
G.Lusztig, From conjugacy classes in the Weyl group to unipotent classes II, arxiv:1104.0196, Represent. Th. 16 (2012), 189-211.
G.Lusztig, On the cleanness of cuspidal character sheaves, arxiv:1101.0752, Moscow Math.J. 12 (2012), 621-631.
G.Lusztig and T.Xue, Elliptic Weyl group elements and unipotent isometries with $p=2$, arxiv:1103.5172, Represent. Th. 16 (2012), 270-275.
G.Lusztig and D.Vogan, Hecke algebras and involutions in Weyl groups, arxiv:1109.4606, Bull. Inst. Math. Acad. Sinica(N.S.). 7 (2012), 323-354.
G.Lusztig, A bar operator for involutions in a Coxeter group, arxiv:1112.0969, Bull. Inst. Math. Acad. Sin.(N.S.). 7 (2012), 355-404.
G.Lusztig, From conjugacy classes in the Weyl group to unipotent classes III, arxiv:1104.3112, Represent. Th. 16 (2012), 450-488.
G.Lusztig, On the representations of disconnected reductive groups over $F_q$, arxiv:1108.5468, "Recent developments in Lie Algebras, Groups and Representation theory, ed. K.Misra, Proc. Symp. Pure Math., vol. 86, Amer. Math. Soc., 2012.
G.Lusztig and Z.Yun, A (-q)-analogue of weight multiplicities, arxiv:1203.0521, Jour. Ramanujan Math. Soc. 29A (2013), 311-340.
J.-L.Kim and G.Lusztig, On the characters of unipotent representations of a semisimple p-adic group, arxiv:1208.0320, Represent. Th. 17 (2013), 426-441.
G.Lusztig, Asymptotic Hecke algebras and involutions, arxiv:1204.0276, Perspectives in Representation Theory, ed. P.Etingof et.al., Contemp.Math.610, 2014, pp. 267-278.
G.Lusztig, Restriction of a character sheaf to conjugacy classes, arxiv:1204.3521, Bulletin Mathém. Soc. Math. Roumanie. 58 (2015), 297-309.
J.-L.Kim and G.Lusztig, On the Steinberg character of a semisimple p-adic group, arxiv:1204.4712, Pacific J.Math. 265 (2013), 499-509.
G.Lusztig and D.Vogan, Quasisplit Hecke algebras and symmetric spaces, arxiv:1206.0634, Duke Math. J. 163 (2014), 983-1070.
G.Lusztig, Unipotent almost characters of simple $p$-adic groups, arxiv:1212.6540, Astérisque. 369-370 (2015), 243-267.
G.Lusztig, Unipotent almost characters of simple $p$-adic groups, II, arxiv:1303.5026, Transfor. Gr. 19 (2014), 527-547.
G.Lusztig, Distinguished conjugacy classes and elliptic Weyl group elements, arxiv:1304.4463, Represent.Th. 18 (2014), 223-277.
G.Lusztig, On conjugacy classes in a reductive group, arxiv:1305.7168, Representations of Reductive Groups, Progr.in Math. 312, Birkhäuser, 2015, pp. 333-363.
G.Lusztig, Truncated convolution of character sheaves, arxiv:1308.1082, Bull. Inst. Math. Acad. Sin.(N.S.). 10 (2015), 1-72.
G.Lusztig, On conjugacy classes in the Lie group $E_8$,, arxiv:1309.1382, Bull.Math.Soc.Math.Roumanie. 63 (2020), 91-94.
G.Lusztig and D.Vogan, Hecke algebras and involutions in Coxeter groups, arxiv:1312.3237, Representations of Reductive Groups, Progr.in Math. 312, Birkhäuser, 2015, pp. 365-398.
G.Lusztig, Unipotent representations as a categorical centre, arxiv:1401.2889, Represent.Th. 19 (2015), 211-235.
G.Lusztig, Exceptional representations of Weyl groups, arxiv:1405.6686, J. Alg. 475 (2017), 14-20.
G.Lusztig, Action of longest element on a Hecke algebra cell module, arxiv:1406.0452, Pacific.J.Math. 279 (2015), 383-396.
G.Lusztig, On the character of certain irreducible modular representations, arxiv:1407.5346, Represent. Th. 19 (2015), 3-8.
G.Lusztig, Algebraic and geometric methods in representation theory, arxiv:1409.8003.
G.Lusztig, Some power series involving involutions in Coxeter groups, arxiv:1411.3233, Repres.Th. 19 (2015), 281-289.
G.Lusztig and G.Williamson, On the character of certain tilting modules, arxiv:1502.04904, Sci. China Math. 61 (2018), 296-298.
G.Lusztig, Non-unipotent character sheaves as a categorical centre, arxiv:1506.04598, Bull. Inst. Math. Acad. Sinica (N.S.). 11 (2016), 603-731.
G.Lusztig, An involution based left ideal in the Hecke algebra, arxiv:1507.02263, Represent .Th. 20 (2016), 172-186.
G.Lusztig, Generic character sheaves on groups over $\mathbf{k}[\in]/(\in^r)$, arxiv:1508.05015, Contemp. Math. 683 (2017), 227-246.
G.Lusztig, Generalized Springer theory and weight functions, arxiv:1510.02174, Ann. Univ. Ferrara Sez.VII Sci. Mat. 63 (2017), 159-167.
G.Lusztig, On the definition of almost characters, arxiv:1512.07318, Lie Groups, Geometry and Representation Theory, ed. V.Kac, V.Popov, Progr.in Math.326, Birkhauser, 2018.
G.Lusztig, Special representation of Weyl groups: a positivity property, arxiv:1602.02106, Adv.in Math. 327 (2018), 161-172.
G.Lusztig and Z.Yun, $\mathbf{Z}/m$-graded Lie algebras and perverse sheaves I, arxiv:1602.05244, Represent.Th. 21 (2017), 277-321.
G.Lusztig, The canonical basis of the quantum adjoint representation, arxiv:1602.07276, J. Comb. Alg. 1 (2017), 45-57.
G.Lusztig and Z.Yun, $\mathbf{Z}/m$-graded Lie algebras and perverse sheaves II, arxiv:1604.00659, Represent.Th. 21 (2017), 322-353.
G.Lusztig and Z.Yun, $\mathbf{Z}/m$-graded Lie algebras and perverse sheaves III: graded double affine Hecke algebra, arxiv:1607.07916, Represent.Th. 22 (2018), 87-118.
G.Lusztig, On the generalized Springer correspondence, arxiv:1608.02223, Representations of reductive groups, Proc.Symp.Pure Math., vol. 101, Amer.Math.Soc., 2019, pp. 219-253.
G.Lusztig, Remarks on affine Springer fibres, arxiv:1902.01006, Bull. Inst. Math. Acad. Sin. (N.S.). (2020),.
G.Lusztig and Z.Yun, Endoscopy for Hecke categories, character sheaves and representations, arxiv:1904.01176, Forum of Mathematics, Pi. 8 (2020),.
G.Lusztig, Total positivity in reductive groups, II, arxiv:1904.07198, Bull. Inst. Math. Acad. Sinica (N.S.). 14 (2019), 403-460.
G.Lusztig, On the totally positive grassmannian, arxiv:1905.09254, Bull.Math.Soc.Math.Roum. 66 (2023), 455-458.
G.Lusztig, The Grothendieck group of unipotent representations: A new basis, arxiv:1907.01401, Represent.Th. 24 (2020), 178-209.
G.Lusztig, Total positivity in Springer fibres, arxiv:1909.00896, Quart.J.Math. 72 (2021), 31-49.
G.Lusztig, Michael Atiyah and representation theory, Notices Amer.Math.Soc. (2019),.
G.Lusztig and Z.Yun, From conjugacy classes in the Weyl group to representations, arxiv:1912.01754, Categorical, combinatorial and geometric representation theory and related topics, Proc.Symp.Pure Appl.Math., vol. 108, Amer.Math.Soc., 2024, pp. 453-464.
G.Lusztig, The flag manifold over the semifield $\mathbf{Z}$, arxiv:1912.13329, Bull. Inst. Math. Acad. Sinica (N.S.). 15 (2020), 63-92.
G.Lusztig, Fourier transform as a triangular matrix, arxiv:2001.11414, Represent.Th. 24 (2020), 470-482.
G.Lusztig, Partial flag manifolds over a semifield, arxiv:2002.00935, Represent.Th. 24 (2020), 397-402.
G.Lusztig, On induction of class functions, arxiv:2003.02715, Represent.Th. 25 (2021), 412-421.
G.Lusztig, Strata of a disconnected reductive group, arxiv:2006.07336, Indag.Math. 32 (2021), 968-986.
G.Lusztig, Open problems on Iwahori-Hecke algebras, arxiv:2006.08535, Europ. Math. Soc. Newsletter. (2020),.
G.Lusztig, From families in Weyl groups to Springer representations, arxiv:2006.16159, Bull.Inst.Math.Acad.Sin. 18 (2023), 1-14.
G.Lusztig, Springer's work on unipotent classes and Weyl group representations, arxiv:2007.11996, Indag. Math. 32 (2021), 939-943.
G.Lusztig, Unipotent blocks and weighted affine Weyl groups, arxiv:2010.02095, Categorical,combinatorial and geometric representation theory, Proc.Symp.Pure Math, vol. 108, . Amer.Math.Soc., 2024, pp. 435-452.
G.Lusztig, On the definition of unipotent representations, arxiv:2011.01824.
G.Lusztig, On the Satakeisomorphism, arxiv:2012.00569, Transfor.Groups. 28 (2023), 1191-1204.
S.Fomin and G.Lusztig, Coordinate rings and birational charts, arxiv:2102.03608, Represent.Th. 26 (2022), 1-16.