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Affine Hecke algebras and raising operators for Macdonald polynomials

Anatol N. Kirillov·Masatoshi Noumi
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Abstract

We introduce certain raising and lowering operators for Macdonald polynomials (of type $A_{n-1}$) by means of Dunkl operators. The raising operators we discuss are a natural $q$-analogue of raising operators for Jack polynomials introduced by L.Lapointe and L.Vinet. As an application we prove the integrality of double Kostka coefficients. Double analog of the multinomial coefficients are introduced.

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BibTeXRIS

Anatol N. Kirillov, Masatoshi Noumi. 1996-05-04. Affine Hecke algebras and raising operators for Macdonald polynomials. https://arxiv.org/abs/q-alg/9605004

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