A Summation Formula for Macdonald Polynomials

被引：2
|
作者：
de Gier, Jan [1 ]
Wheeler, Michael [1 ]
机构：
[1] Univ Melbourne, Sch Math & Stat, Parkville, Vic 3010, Australia
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2016年 / 106卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
Macdonald polynomials; AFFINE HECKE ALGEBRAS; COMBINATORIAL FORMULA; REPRESENTATIONS; OPERATORS;
D O I：
10.1007/s11005-016-0820-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive an explicit sum formula for symmetric Macdonald polynomials. Our expression contains multiple sums over the symmetric group and uses the action of Hecke generators on the ring of polynomials. In the special cases and , we recover known expressions for the monomial symmetric and Hall-Littlewood polynomials, respectively. Other specializations of our formula give new expressions for the Jack and q-Whittaker polynomials.
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页码：381 / 394
页数：14
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