Rodrigues formulas for the Macdonald polynomials

Details Rodrigues formulas for the Macdonald polynomials Rodrigues formulas for the Macdonald polynomials

1996-07-18

arxiv.org/abs/q-alg/9607025v1

Mathematics

Quantum Algebra

15 pages, AmsLaTeX

Scientific paper

We present formulas of Rodrigues type giving the Macdonald polynomials for arbitrary partitions through the repeated application of creation operators on the constant 1. Three expressions for the creation operators are derived one from the other. When the last of these expressions is used, the associated Rodrigues formula readily implies the integrality of the (q,t)-Kostka coefficients. The proofs given in this paper rely on the connection between affine Hecke algebras and Macdonald polynomials

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