PUBLICATIONS OF VICTOR KAC


  1. On a characteristic property of locally Euclidean spaces, Usephi Mat. Nauk. 191 (1964), No. 4, 225-227.

  2. (Jointly with E. Vinberg) Quasi-homogeneous cones, Math. Zametiki 1 (1967), 347-354 [English translation: Math. Notes 1 (1967)].

  3. Simple graded Lie algebras of finite growth, Funkt. Analys y ego prilozh. 1 (1967), No. 4, 82-83 [English translation: Funct. Anal. Appl. 1 (1967), 328-329].

  4. Graded Lie algebras and symmetric spaces, Funkt. Analys y ego prilozh. 2 (1968), No. 2, 93-94 (English translation: Funct. Anal. Appl. 2 (1968), 183-184).

  5. Simple irreducible graded Lie algebras of finite growth, Iz vestija AN USSR (ser. Math.) 32 (1968), 1923-1967 [English translation: Math. of USSR-Izvestija 2 (1968), 1271-1311].

  6. Some properties of the contragradient Lie algebras, Trudy MIEM, No. 5, 1969, 48-60.

  7. An algebraic definition of compact Lie groups, Trudy MIEM, No. 5, 1969, 36-47.

  8. Automorphisms of finite order of semi-simple Lie algebras, Funckt. analys y ego prilozh. 3 (1969), No. 3, 94-96 [English translation: Funct. Anal. Appl. 3 (1969), 252-254].

  9. On classifications of simple Lie algebras over fields of non-zero characteristics, Izvestija AN USSR (ser. Math.) 34 (1970), 381-404 [English translation: Math of USSR-Izvestija 4 (1970), 391-413].

  10. (Jointly with B. Weisfeiler) Exponentials in Lie algebras of characteristic p, Izvestija AN USSR (ser. Math.) 35 (1971), 762-788 [English translation: USSR-Izvestija 5 (1971), 777-803].

  11. (Jointly with B. Weisfeiler) On irreducible representations of Lie p-algebras, Funkt. analys y ego prilozh. 5 (1971), No. 2, 28-36 [English translation: Funct. Anal. Appl. 5 (1971), 111-117].

  12. Global Cartan pseudogroups and simple Lie algebras of Characteristic p, Uspehi Math. Nauk. 26 (1971), No. 3, 199-200.

  13. On algebras related to quantum field theory, All-Union Algebraic Colloquium, Kishinev (1971), 140-141.

  14. On irreducible representations of Lie algebras of classical type, Uspehi Math. Nauk. 27 (1972), No. 5, 237-238.

  15. Filtered Lie algebras of Cartan type, Uspehi Math. Nauk. 29 (1974), No. 3, 203-204.

  16. Infinite-dimensional Lie algebras and the Dedekind η-function, Funkt. analys y ego prilozh. 8 (1974), No. 1, 77-78 [English translation: Funct. Anal. Appl. 8 (1974), 68-70].

  17. A description of filtered Lie algebras whose associated graded Lie algebras are of Cartan type, Izvestija AN USSR (ser. Math.) 38 (1974), 800-834 [English translation: Math. of USSR-Izvestija 8 (1974), 801-835; letter to the editor, 40 (1976), No. 6].

  18. On the question of description of the orbit space of linear algebraic groups, Uspehi Math. Nauk. 30 (1975), No. 6, 173-174.

  19. Classification of simple Lie superalgebras, Funct. analys e ego prilozh. 9 (1975), No. 3, 91-92; letter to the editor, 10 (1976), No. 2, 93 [English translation: Funct. Anal. Appl. 9 (1975), 263-265].

  20. (Jointly with B. Weisfeiler) Coadjoint action of a semi-simple algebraic group and the center of the enveloping algebra in characteristic p, Proc. Kon. Nederl. Akad., Series A, 38 (1976), 136-151.

  21. (Jointly with V. Popov and E. Vinberg) Sur les groupes linear algebrique avec algebres d'invariants libre, C.R. Acad. Sci. Paris, 283 (1976), 75-878.

  22. A sketch of Lie superalgebra theory, Comm. Math. Physics 53 (1977), 31-64.

  23. Characters of typical representations of classical Lie superalgebras, Comm. in Algebra 5, No. 8 (1977), 889-897.

  24. Classification of simple Z-graded Lie superalgebras and simple Jordan superalgebras, Comm. in Algebra 5, No. 13 (1977), 1375-1400.

  25. Lie superalgebras, Advances in Math. 26, No. 1 (1977), 8-96.

  26. Classification of simple algebraic supergroups, Uspehi Math. Nauk. 32, No. 3 (1977), 214-215.

  27. Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula, Advances in Math. 30 (1978), 85-136.

  28. (Jointly with E. Vinberg) Spinors of 13-dimensional space, Advances in Math. 30 (1978), 137-155.

  29. Representations of classical Lie superalgebras, Lecture Notes in Math. 676 (1978), 597-626.

  30. Contravariant form for infinite dimensional Lie algebras and superalgebras, Lecture Notes in Physics 94 (1979), 441-445.

  31. (Jointly with D. Kazhdan) Structure of representations with highest weight of infinite dimensional Lie algebras, Advances in Math. 34 (1979), 97-108.

  32. Highest weight representations of infinite dimensional Lie algebras, Proceedings of ICM, Helsinki 1978 (1980), 299-304.

  33. Infinite root systems, representations of graphs and invariant theory, Inventiones Math. 56 (1980), 57-92.

  34. An elucidation of "Infinite dimensional algebras tex2html_wrap_inline303 and the very strange formula"Ε8(1) and the cube root of the modular invariant j, Advances in Math. 35 (1980), 264-273.

  35. On simplicity of certain infinite-dimensional Lie algebras, Bul. Amer. Math. Soc. 2 (1980), 311-314.

  36. Some remarks on nilpotent orbits, Journal of Algebra 64 (1980), 190-213.

  37. (Jointly with D. Peterson) Affine Lie algebras and Hecke modular forms, Bull. Amer. Math. Soc. 3 (1980), 1057-1061.

  38. A remark on the Conway-Norton conjecture about the ``Monster'' simple group, Proc. Nat'l. Acad. Sci. USA, 77 (1980), 5048-5049.

  39. (Jointly with I. Frenkel) Basic representations of affine Lie algebras and dual resonance models, Invent. Math. 62 (1980), 23-66.

  40. Some remarks on representations of quivers and infinite root systems, Lecture Notes in Math. 832 (1980), 311-327.

  41. (Jointly with D. Kazhdan, J. Lepowsky and R. Wilson) Realization of the basic representation of the Euclidean Lie algebras, Advances in Math. 42 (1981), 83-112.

  42. Simple Lie groups and the Legendre symbol, Lecture Notes in Math. 848 (1981), 110-124.

  43. (Jointly with D. Peterson) Spin and wedge representations of infinite dimensional Lie algebras and groups, Proc. Nat'l. Acad. Sci. USA 78 (1981), 3308-3312.

  44. (Jointly with O. Gabber) On defining relations of certain infinite-dimensional Lie algebras, Bull. Amer. Math. Soc. 5 (1981), 185-189.

  45. (Jointly with K. Watanabe) Finite linear groups whose ring of invariants is a complete intersection, Bull. Amer. Math. Soc. 6 (1982), 221-223.

  46. (Jointly with V. Deodhar and O. Gabber) Structure of some categories of representations of infinite dimensional Lie algebras, Advances in Math. 45 (1982), 92-116.

  47. Infinite root systems, representations of graphs and invariant theory II, Journal of Algebra 78 (1982), 141-162.

  48. Some problems on infinite dimensional Lie algebras and their representations, Lecture Notes in Math. 933 (1982), 117-126.

  49. (Jointly with D. Peterson) Infinite flag varieties and conjugacy theorems, Proc. Nat. Acad. Sci. USA 80 (1983), 1778-1782.

  50. Montecatini lectures on invariant theory, Lecture Notes in Math. 996 (1983), 74-108.

  51. (Jointly with D. Peterson) Regular functions on certain infinite-dimensional groups, Arithmetic and Geometry (ed. M. Artin and J. Tate), Progress in Math. 36, Birkhäuser, Boston (1983), 141-166.

  52. Infinite-dimensional Lie algebras, Progress in Math. 44, Birkhäuser, Boston, (1983).

  53. (Jointly with D. Peterson) Infinite dimensional Lie algebras, theta functions and modular forms, Advances in Math. 53 (1984), 125-264.

  54. (Jointly with D. Peterson) Unitary structure in representation of infinite-dimensional groups and a convexity theorem, Invent. Math. 76 (1984), 1-14.

  55. Laplace operators of infinite-dimensional Lie algebras and theta functions, Proc. Nat'l. Acad. Sci. USA 81 (1984), 645-647.

  56. (Jointly with J. Dadok) Polar representations, J. Algebra 92 (1985), 504-524.

  57. Infinite dimensional Lie algebras, second edition, Cambridge University Press, (1985).

  58. Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups, Invent. Math. 80 (1985), 69-79.

  59. (Jointly with H. Jakobsen) A new class of unitarizable highest weight representations of infinite-dimensional Lie algebras, Lecture Notes in Physics 226 (1985), 1-20.

  60. Constructing groups associated to infinite-dimensional Lie algebras, Proceedings of the conference on Infinite-dimensional groups, Berkeley (1984), MSRI publ. #4 (1985), 167-216.

  61. (Jointly with D. Peterson), Defining relations of certain infinite-dimensional groups, Proceedings of the Cartan conference, Lyon (1984), Asterisque (1985), Numero hors serie, 165-208.

  62. (Jointly with D. Peterson) Generalized invariants of groups generated by reflections, in Proceedings of the Conference Giornate di Geometria, Rome (1984). Progress in Math. 60, Birkhäuser (1985), 231-250.

  63. (Jointly with D. Peterson) 112 Constructions of the basic representation of the loop group of Ε8, Proceedings of the conference ``Anomalies, geometry, topology,'' Argonne (1985). World Scientific (1985), 276-298.

  64. (Jointly with I.T. Todorov) Superconformal current algebras and their unitary representations, Comm. Math. Physics 102 (1985), 337-347.

  65. (Jointly with M. Wakimoto) Unitarizable highest weight representations of the Virasoro, Neveu-Schwarz and Ramond algebras, in Proceedings of the Symposium on conformal groups and structures, Claustal, (1985). Lecture Notes in Physics 261 (1986), 345-372.

  66. (Jointly with D. Peterson), Lectures on the infinite wedge representation and the MKP hierarchy, Seminaire de Math. Superieures, Les Presses de L'Universite de Montreal 102 (1986), 141-186.

  67. Highest weight representations of conformal current algebras, Symposium on Topological and Geometric methods in Field theory, Espoo, Finland, (1986). World Scientific (1986), 3-16.

  68. (Jointly with D. Peterson) On geometric invariant theory for infinite-dimensional groups, in Lecture Notes in Math. 1271 (1987), 102-142.

  69. (Jointly with J. Van de Leur) Super boson-fermion correspondence, Ann. de L'Institute Fourier 37 (1987), 99-137.

  70. (Jointly with A. Raina) Bombay lectures on highest weight representations of infinite-dimensional Lie algebras, World Scientific, (1987).

  71. (Jointly with M. Wakimoto) Modular and conformal invariance constraints in representation theory of affine algebras, Advances in Math. 70 (1988), 156-234.

  72. (Jointly with E. Arbarello, C. de Concini and C. Procesi) Moduli spaces and curves and representation theory, Comm. in Math. Phys. 117 (1988), 1-36.

  73. (Jointly with M. Niculescu-Sanielevici) Decomposition of representations of exceptional affine algebras with respect to conformal subalgebras, Phys. Rev. D 37 (1988), 2231-2237.

  74. (Jointly with M. Wakimoto) Modular invariant representations of infinite dimensional Lie algebras and superalgebras, Proc. Nat'l. Acad. Sci. USA 85 (1988), 4956-4960.

  75. (Jointly with R. Moody and M. Wakimoto) On Ε10, Proceedings of the 1987 conference on differential-geometrical methods in physics, Kluwer (1988), 102-128.

  76. (Jointly with H. Jakobsen) A new class of unitarizable highest weight representations of infinite-dimensional Lie algebras II, J. Funct. Anal. 82 (1989), 69-90.

  77. (Jointly with M. Wakimoto) Exceptional hierarchies of soliton equations, Proceedings of Symposia in Pure Math. 49 (1989), 191-237.

  78. (Jointly with E. Arbarello and C. de Concini) The infinite wedge representation and the reciprocity law for algebraic curves, Proceedings of Symposia in Pure Math. 49 (1989), 171-190.

  79. (Jointly with C. de Concini and D. Kazhdan) Boson-fermion correspondence over Ζ , in Infinite-dimensional Lie algebras and groups, Adv. Ser. Math. Phys. 7 (1989), 124-137.

  80. (Jointly with J. van de Leur) Super boson-fermion correspondence of type B, in Infinite dimensional Lie algebras and groups, Adv. Ser. Math. Phys. 7, World Scientific (1989), 369-406.

  81. (Jointly with J. van de Leur) On classification of superconformal algebras, in Strings 88, World Scientific (1989), 77-106.

  82. (Jointly with M. Wakimoto) Classifications of modular invariant representations of affine algebras, in Infinite dimensional Lie algebras and groups, Adv. Ser. Math. Phys. 7, World Scientific (1989), 138-177.

  83. (Jointly with C. de Concini) Representation of quantum groups at roots of 1, Colloque Dixmier (1990), Progress in Math. 92, Birkhäuser (1990), 471-506.
  84. Infinite dimensional Lie algebras, 3rd Ed., Cambridge University Press, (1990).

  85. (Jointly with M. Wakimoto) Branching functions for winding subalgebras and tensor products, Acta Applicandae Math. 21 (1990), 3-39.

  86. (Jointly with A. S. Schwarz) Geometric interpretation of partition function of 2D quantum gravity, Phys. Lett. B 257 (1991), 329-334.

  87. (Jointly with C. de Concini) Representations of quantum groups at roots of 1: reduction to the exceptional case, in Adv. Series in Math. Phys. 16A (1992), 141-150.

  88. Modular invariance in mathematics and physics, AMS Centennial Publications II, Mathematics into the 21st century, (1992), 337-350.

  89. (Jointly with S. P. Wang) On automorphisms of Kac-Moody algebras and groups, Advances in Math. 92 (1992), 129-195.

  90. (Jointly with C. de Concini and C. Procesi) Quantum coadjoint action, AMS Math. Journal 5 (1992), 151-190.

  91. (Jointly with E. Frenkel and M. Wakimoto) Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction, Comm. in Math. Phys., 147 (1992), 295-328.

  92. (Jointly with C. de Concini and C. Procesi) Some remarkable degenerations of quantum groups, Comm. Math. Phys. 157 (1993), 405-427.

  93. (Jointly with J. van de Leur) The n-component KP hierarchy and representation theory, in Important developments in soliton theory,  302-343, Eds. A.S. Fokas and V.E. Zakharov, Springer-Verlag, (1993).

  94. (Jointly with A. Radul) Quasifinite highest weight modules over the Lie algebra of differential operators on the circle, Comm. Math. Phys. 157 (1993), 429-457.

  95. (Jointly with M. Wakimoto) A construction of generalized spin models, in Perspectives in Math. Physics, Conference Proceedings, Vol. 3, International Press (1994), 125-150.

  96. (Jointly with W. Wang) Vertex operator superalgebras and their representations, Contemporary Mathematics 175 (1994), 161-191.

  97. (Jointly with M. Wakimoto) Integrable highest weight modules over affine superalgebras and number theory, Progress in Math. 123 (1994), 415-456.

  98. (Jointly with C. de Concini and C. Procesi) Some quantum analogues of solvable Lie groups, Proceedings of the International Colloquium on Geometry and Analysis, Bombay (1992), Oxford University Press (1995), 41-66.

  99. (Jointly with A. Radul) Poisson structure in restricted Lie algebras, The Gelfand Mathematical Seminars, 1996-1999, Birkhause, Boston (1999), 77-84.

  100.  (Jointly with E. Frenkel, A. Radul and W. Wang) W1+∞ and W(glN)at central charge N, Comm. Math. Phys. 170 (1995), 337-357.

  101.  (Jointly with S.J. Kang) Trace formula for graded Lie algebras and monstrous moonshine, Canadian Math. Soc. Conference Proceedings 16 (1995), 141-154.

  102.  (Jointly with J. Beck) Finite-dimensional representations of quantum affine algebras at roots of 1, AMS Math. Journal 9 (1996), 391-423.

  103.  (Jointly with E. Medina) On the SKP hierarchy, Lett.Math.Phys. 37 (1996), 435-448.

  104.  (Jointly with A. Radul) Representation theory of the vertex algebra W(1+∞) , Transformation groups 1 (1996), 41-70.

  105.  Vertex algebras for beginners, University lecture series, AMS, vol. 10 (1996).

  106.  (Jointly with I. Todorov) Affine orbifolds and RCFT extensions of W(1+∞) , Comm. Math.Phys., 190 (1997), 57-111.

  107.  (Jointly with S.J. Cheng) A new N  =  6 superconformal algebra, Comm.   Math.  Phys., 186 (1997), 219-231.

  108.  Conformal superalgebras and transitive group actions on quadrics, Comm. Math. Phys., 186 (1997), 233-252.

  109.  The idea of locality, in Physical applications and mathematical aspects of geometry, groups and algebras, H.D. Doebner et al. Eds, World Sci., Singapore (1997), 16-32,   q-alg/9709008

  110.  (Jointly with S. J. Cheng) Conformal modules, Asian J. Math. 1 (1997), 181-193. Erratum 2 (1998),  153-156.

  111.  (Jointly with J. van de Leur) The geometry of spinors and the multicomponent BKP and DKP hierarchies, CRM Proceedings and Lecture Notes, 14 (1998), 159-202.

  112.  (Jointly with S. J. Cheng and M. Wakimoto) Extensions of conformal modules, in Topological field theory, primitive forms and related topics, Proceedings of Taniguchi and RIMS symposia, Progress in Math. 160, Birkhäuser (1998), 79-130.

  113.  Formal distribution algebras and conformal algebras, in Proceedings of the 12th International Congress in Math. Physics, (1997), De Witt et al. Eds, International Press, Boston, (1999), 80-97,  q-alg/9709027

  114.  (Jointly with A. d'Andrea) Structure theory of finite conformal algebras, Selecta Matemathica, 4 (1998), 377-418.

  115.  (Jointly with M. Golenishcheva-Kutuzova) Γ-conformal algebras, J. Math Physics 39 (1998), 2290-2305,  q-alg/9709006

  116.  (Jointly with C. Boyallian, J. Liberati and C. Yan) Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle, J. Math Physics, 39 (1998), 2910-2928.

  117.  (Jointly with W. Wang and C. Yan) Quasifinite representations of classical Lie subalgebras of W(1+∞), Advances in Math, 139 (1998), 56-140.

  118.  Classification of infinite-dimensional simple linearly compact Lie superalgebras, Advances in Math., 139 (1998), 1-55.

  119.  Vertex algebras for beginners, 2nd Ed. (1998).

  120.  (Jointly with B. Bakalov and A. Voronov) Cohomology of conformal algebras, Comm. Math. Phys.200 (1999), 561-598.

  121.  (Jointly with S. J. Cheng) Generalized Spencer cohomology and filtered deformations of Ζ-graded Lie superalgebras, Advances in Theor. and Math. Physics, 2(1998), 1139-1180.

  122.  (Jointly with S. J. Cheng) Structure of some Ζ-graded Lie superalgebras of vector fields, Transformation groups, 4(1999), 219-272.

  123.  (Jointly with A. Smilga) Vacuum structure in supersymmetric Yang-Mills theories with any gauge group, Golfand Memorial Volume, World Sci., (1999).

  124.  (Jointly with A. Smilga) Normalized vacuum states in N=4 supersymmetric Yang-Mills quantum mechanics with any gauge group, Nuclear Physics, B571 (2000),  515-554.

  125.  (Jointly with S. J. Cheng and M. Wakimoto) Extensions of Neveu-Schwarz conformal modules, J. Math. Physics, 41(2000), 2271-2294.

  126.  Classification of infinite-dimensional simple groups of supersymmetries and quantum field theory, Proceedings of the conference " Visions in Mathematics toward the year 2000 ", GAFA , Special volume (2000), 162-183. math.QA/9912235

  127.  (with J. Liberati) Unitary quasifinite representations of W∞, Letters in Math. Phys. 53 (2000), 11-27. math.QA/9910172

  128.  (with C. Martinez and E. Zelmanov) Graded simple Jordan superalgebras of growth one, Memoirs of AMS 711, 2001, pp 1-140.

  129.  (Jointly with M. Wakimoto) Integrable highest weight modules over affine superalgebras and Appell's function, Comm. Math. Phys.215 (2001),631-682.  math-ph/0006007

  130.  (Jointly with B. Bakalov and A. d'Andrea) Theory of finite pseudoalgebras, ESI preprint,  math.QA/0007121

  131.  (with J. Troost) The stability of vacua in two-dimensional gauge theory, Phys. Letters B501 (2001),313-318. hep-th/0010289

  132.  A differential analog of a theorem of Chevalley, IMRN 13 (2001), 703-710. math.AG/0101210

  133.  (with A. Rudakov) Representations of the exceptional Lie superalgebra E(3,6) I: Degeneracy conditions, Transformation groups 7 (2002), 67-86. math-ph/0012049

  134.  (with A. Rudakov) Representations of the exceptional Lie superalgebra E(3,6) II: Four series of degenerate modules, Comm. Math. Phys.222 (2001), 611-661. math-ph/0012050

  135.  (with D. Fattori) Classification of finite simple Lie conformal superagebras, J. Algebra 258 (2002),23-59. math-ph/0106002

  136.  (with P. Cheung) Quantom calculus, Springer Verlag, 2002

  137.  (with A. Rudakov) Complexes of modules over exceptional Lie superalgebras E(3,8) and E(5,10), IMRN 19 (2002),1007-1025. math-ph/0112022

  138.  (with A. De Sole) Subalgebras of gcN and Jacobi polynomials, Canadian Math. Bull. 45(4)(2002),567-605. math-ph/0112028

  139.  (with C. Boyallian and J. Liberati) On the classification of subalgebras of CendN and gcN, J. Algebra 260 (2002), 32-63. math-ph/0203022

  140.  Classification of supersymmetries, ICM, Beijing 2002. math-ph/0302016

  141.   (with B. Bakalov) Field algebras, IMRN 3 (2003), 123-159. math.QA/0204282

  142.   (with C.Boyallian and J. Liberati) Finite growth representations of infinite Lie conformal algebras, J. Math. Phys. 44 (2003), 754-770. math.QA/0210161

  143.   (with S.-S. Roan and M.Wakimoto) Quantum reduction for affine superalgebras. Comm. Math. Phys.241(2003),307-342. math-ph/0302015

  144.   (with M. Wakimoto) Quantum reduction and representation theory of superconformal algebras. Advances in Math.185 (2004), 400-458. math-ph/0304011. Corrigendum: Advances in Math. 193(2005),453-455.

  145.   (with D. Fattori and A. Retakh) Structure theory of finite Lie conformal superalgebras, in Lie theory and its applications to physics, eds. H.-D. Doebner and V.K. Dobrev, World Sci. 2004, pp 27-63. math.QA/0402211

  146.  (with B. Bakalov) Twisted modules over lattice vertex algebras, in Lie theory and its applications to physics, eds. H.-D. Doebner and V.K. Dobrev, World Sci. 2004, pp 3-26. math.QA/0402315

  147.  (with S.-J. Cheng) Addendum: Generalized Spencer cohomology and filtered deformations of Z-graded Lie superalgebras. Adv. Theor. Math. Phys.8 (2004), 697-709.

  148.  (with A. De Sole) On integral representations of q-gamma and q-beta functions. Rend. Mat. Acc. Lincei 9 (2005), 11-29. math.QA/0302032

  149.   (with R. Longo and F. Xu) Solitons in affine and permutation orbifolds. Comm. Math. Phys.253 (2005), 723-764. math.OA/0312512

  150.   (with A. De Sole) Freely generated vertex algebras and non-linear Lie conformal algebras. Comm. Math. Phys. 254 (2005), 659-694. math-ph/0312042

  151.   (with A.G. Elashvili) Classification of good gradings of simple Lie algebras, Amer. Math. Soc. Transl. (2) vol 213 (2005), math-ph/0312030

  152.   (with A. Rudakov) Representations of the exceptional Lie superalgebra E(3,6) III: Classification of singular vectors. J. Algebra Appl.4 (2005), 15-57. math-ph/0310045

  153.   (with M. Wakimoto) Quantum reduction in the twisted case. Progress in Math. 237, 2005, pp 85-126. math-ph/0404049

  154.   (with B. Bakalov and A. D'Andrea) Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S. Advances in Math.204(2006), 278-346.math, QA/0410213

  155.   (with P. Cellini, F. Pierluigi Moseneger and P. Papi) Decomposition rules for conformal pairs associated to symmetric spaces and abelian ideals of Z2-graded Lie algebras.Advances in Math.207(2006),156-204. math-ph/0506043

  156.  (with C.Boyallian, J. Liberati and A. Rudakov) Representations of simple nite Lie conformal superalgebras of type W and S. J. Math. Phys.47, 043513 (2006), 25pp

  157.   (with A. De Sole) Finite vs affine W-algebras. Japanese Journal of Math. 1(2006), 137- 261. math-ph/0511055

  158.   (with N. Cantarini) Infinite-dimensional primitive linearly compact Lie superalgebras. Advances in Math.207 (2006), 328-419. math.QA/0511424

  159.   (with N. Cantarini) Automorphisms and forms of simple infinite - dimensional linearly compact Lie superalgebras. Internat. J. of Geom. Methods in Phys. 3, Nos. 5 and 6(2006),1-23. math.QA/0601292

  160.   (with B. Bakalov) Generalized vertex algebras, in Lie theory and its applications to physics VI, eds.V.K. Dobrev et al, Heron Press, Soa, 2006. math.QA/0602072

  161.   (with R. Heluani) Supersymmetric vertex algebras. Comm. Math. Phys.271(2007), 103-178. math.QA/0603633

  162.   (with M. Gorelik) On simplicity of vacuum modules. Advances in Math.211(2007), 621-677. math-ph/0606002

  163.   (with N. Cantarini) Classication of simple linearly compact Jordan and generalized Poisson superalgebras. J. Algebra 313(2007), 100-124. math.QA/0608390

  164.   (with M. Gorelik) Characters of highest weight modules over affine Lie algebras are meromorphic functions. IMRN 2007(2007)rnm 079-25, 25pp. arXiv: 0704.2876

  165.   (with P. Moseneder Frajria and P. Papi) Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting. Advances in Math. 217(2008), 2485-2562. arXiv: 0704.3342

  166.   (with R. Heluani) SUSY lattice vertex algebras. in "Lie theory and its applications to physics VII", eds.V.K. Dobrev et al, Heron Press, Soa, 2008, pp 3-24. arXiv:0710.1587

  167.   (with A. Retakh) Simple Jordan conformal superalgebras. J. Algebra Appl.7 (2008), 517-533. arXiv:0801.0755

  168.   (with M. Wakimoto) On rationality of W-algebras. Transformation groups 13 (2008), 671-713. arXiv:0711.2296

  169.   (with P. Moseneder Frajria and P. Papi) On the kernel of the affine Dirac operator. Moscow Math. J. 8 (2008), 759-788. arXiv:0804.3495. Addendum. Moscow Math. J.9 (2009).

  170.   (with M. Lau and A. Pianzola) Dierential conformal superalgebras and their forms. Advances in Math. 222(2009), 809-861. arXiv:0805.4243

  171.   (with A.G. Elashvili and E.B. Vinberg) On exceptional nilpotents in semisimple Lie algebras. J. Lie Theory. (2009), arXiv:0812.1571

  172.   (with A. De Sole) Lie conformal algebra cohomology and the variational complex. Comm. Math. Phys. 292(2009), 667-719. arXiv:0812.4897

  173.   (with M. Gorelik) On complete reducibility for infinite-dimensional Lie algebras. arXiv:0905.0893

  174.   (with A. Barakat and A. De Sole) Poisson vertex algebras in the theory of Hamiltonian equations. Japan. J. Math.4(2009), 1-112. arXiv:0907.1275

  175.   (with N. Cantarini) Classication of linearly compact simple rigid superalgebras. IMRN arXiv:0909.3100

  176.   (with N. Cantarini) Classication of simple linearly compact n-Lie superalgebras. arXiv:0909.3284

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