Quantum Algebra and Topology
[Submitted on 4 May 1996]
Title:Affine Hecke algebras and raising operators for Macdonald polynomials
View PDFAbstract: 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 this http URL and this http URL. As an application we prove the integrality of double Kostka coefficients. Double analog of the multinomial coefficients are introduced.
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