Determinantal expressions for Macdonald polynomials

Jennifer Morse

University of California, San Diego

September 18,
refreshments at 3:45pm


We show that the action of classical operators associated to the Macdonald polynomials on the basis of Schur functions, S_\lambda[X(t-1)/(q-1)], can be reduced to addition in \lambda rings. This provides explicit formulas for the Macdonald polynomials expanded in this basis as well as in the ordinary Schur basis, S_\lambda[X].

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

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