Symmetry and Pieri rules for the bisymmetric Macdonald polynomials

被引：0
|
作者：
Concha, Manuel [1 ]
Lapointe, Luc [1 ]
机构：
[1] Univ Talca, Inst Matemat, 2 Norte 685, Talca, Chile
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2024年 / 120卷
关键词：
JACK POLYNOMIALS; EIGENFUNCTIONS; SUPERSPACE;
D O I：
10.1016/j.ejc.2024.103973
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Bisymmetric Macdonald polynomials can be obtained through a process of antisymmetrization and t-symmetrization of nonsymmetric Macdonald polynomials. Using the double affine Hecke algebra, we show that the evaluation of the bisymmetric Macdonald polynomials satisfies a symmetry property generalizing that satisfied by the usual Macdonald polynomials. We then obtain Pieri rules for the bisymmetric Macdonald polynomials where the sums are over certain vertical strips. (c) 2024 Elsevier Ltd. All rights reserved.
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页数：31
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