A Littlewood-Richardson rule for dual stable Grothendieck polynomials

被引：10

作者：

Galashin, Pavel ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2017年 / 151卷

关键词：

Dual stable Grothendieck; polynomials; Reverse plane partitions; Crystal operators; Littlewood-Richardson rule;

D O I：

10.1016/j.jcta.2017.04.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a given skew shape, we build a crystal graph on the set of all reverse plane partitions that have this shape. As a consequence, we get a simple extension of the Littlewood- Richardson rule for the expansion of the corresponding dual stable Grothendieck polynomial in terms of Schur polynomials. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：23 / 35

页数：13

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