c-functions and Macdonald polynomials

被引:0
|
作者
Colmenarejo, Laura [1 ]
Ram, Arun [2 ]
机构
[1] NCSU, Raleigh, NC 27695 USA
[2] Univ Melbourne, Melbourne, Australia
关键词
Macdonald polynomials; Symmetric functions; Hecke algebras;
D O I
10.1016/j.jalgebra.2024.01.024
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This is a paper about c-functions and Macdonald polynomials. There are c-function formulas for E-expansions of P-lambda and A(lambda+rho), principal specializations of P-lambda and E-mu, for Macdonald's constant term formulas, and for the norms of Macdonald polynomials. Most of these follow from the creation formulas for Macdonald polynomials, providing alternative proofs to several results from [19]. In addition, we prove the Boson-Fermion correspondence in the Macdonald polynomial setting and the Weyl character formula for Macdonald polynomials. (c) 2024 Elsevier Inc. All rights reserved.
引用
收藏
页码:163 / 222
页数:60
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