Inversion of the Pieri formula for Macdonald polynomials

被引：25
|
作者：
Lassalle, Michel [1 ]
Schlosser, Michael [1 ]
机构：
[1] Univ Vienna, Fak Math, A-1090 Vienna, Austria
来源：
ADVANCES IN MATHEMATICS | 2006年 / 202卷 / 02期
关键词：
Macdonald polynomials; Pieri formula; matrix inversion; symmetric functions; Schur functions; Jacobi-Trudi expansion; Hall-Littlewood polynomials; Jack polynomials;
D O I：
10.1016/j.aim.2005.03.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give the explicit analytic development of Macdonald polynomials in terms of "modified complete" and elementary symmetric functions. These expansions are obtained by inverting the Pieri formula. Specialization yields similar developments for monomial, Jack and Hall-Littlewood symmetric functions. (c) 2005 Elsevier Inc. All rights reserved.
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页码：289 / 325
页数：37
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