Affine Hecke algebras and raising operators for Macdonald polynomials
Abstract
We introduce certain raising and lowering operators for Macdonald polynomials (of type An-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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.