Pieri rules for Schur functions in superspace

被引：10

作者：

Jones, Miles ^{[1
]}

Lapointe, Luc ^{[2
]}

机构：

[1] Univ Calif San Diego, Dept Comp Sci, 9500 Gilman Dr 0404, La Jolla, CA 92093 USA

[2] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2017年 / 148卷

关键词：

Schur functions; Key polynomials; Symmetric functions in superspace; MACDONALD POLYNOMIALS;

D O I：

10.1016/j.jcta.2016.11.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Schur functions in superspace s(Lambda) and (s) over bar (Lambda) are the limits q = t = 0 and q = t = infinity respectively of the Macdonald polynomials in superspace. We prove Pieri rules for the bases s(Lambda) and (s) over bar (Lambda) (which happen to be essentially dual). As a consequence, we derive the basic properties of these bases such as dualities, monomial expansions, and tableaux generating functions. (C) 2016 Published by Elsevier Inc.

引用

页码：57 / 115

页数：59

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