Affine Hecke algebras and raising operators for Macdonald polynomials
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
We introduce certain raising and lowering operators for Macdonald polynomials (of type ) by means of Dunkl operators. The raising operators we discuss are a natural -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.
Keywords
Cite
@article{arxiv.q-alg/9605004,
title = {Affine Hecke algebras and raising operators for Macdonald polynomials},
author = {Anatol N. Kirillov and Masatoshi Noumi},
journal= {arXiv preprint arXiv:q-alg/9605004},
year = {2008}
}
Comments
35 pages, AMSTEX