Crystal Analysis of type C Stanley Symmetric Functions

被引：0

作者：

Hawkes, Graham ^{[1
]}

Paramonov, Kirill ^{[1
]}

Schilling, Anne ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Math, One Shields Ave, Davis, CA 95616 USA

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2017年 / 24卷 / 03期

基金：

美国国家科学基金会;

关键词：

Stanley symmetric functions; crystal bases; Kraskiewicz insertion; mixed Haiman insertion; unimodal tableaux; primed tableaux; LITTLEWOOD-RICHARDSON RULE; REDUCED DECOMPOSITIONS; SCHUBERT POLYNOMIALS; TABLEAUX;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Combining results of T.K. Lam and J. Stembridge, the type C Stanley symmetric function F-w(C)(x), indexed by an element w in the type C Coxeter group, has a nonnegative integer expansion in terms of Schur functions. We provide a crystal theoretic explanation of this fact and give an explicit combinatorial description of the coefficients in the Schur expansion in terms of highest weight crystal elements.

引用

页数：32

共 19 条

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