A recursion formula for k-Schur functions

被引：0

作者：

Bravo, Daniel ^{[1
]}

Lapointe, Luc ^{[2
]}

机构：

[1] Wesleyan Univ, Dept Math & Comp Sci, Middletown, CT 06459 USA

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

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2009年 / 116卷 / 04期

关键词：

Symmetric functions; Schur functions; Bernstein operators; k-Schur functions;

D O I：

10.1016/j.jcta.2008.12.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Bernstein operators allow one to build recursively the Schur functions. We present a recursion formula for k-Schur functions at t = 1 based on combinatorial operators that generalize the Bernstein operators. The recursion leads immediately to a combinatorial interpretation for the expansion coefficients of k-Schur functions at t = 1 in terms of homogeneous symmetric functions. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：918 / 935

页数：18

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