Noncommutative Schur functions, switchboards, and Schur positivity

被引：8

作者：

Blasiak, Jonah ^{[1
]}

Fomin, Sergey ^{[2
]}

机构：

[1] Drexel Univ, Dept Math, Philadelphia, PA 19104 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

SELECTA MATHEMATICA-NEW SERIES | 2017年 / 23卷 / 01期

基金：

美国国家科学基金会;

关键词：

Noncommutative Schur function; Switchboard; D graph; LLT polynomial; Schur positivity; COMBINATORIAL FORMULA; SCHUBERT POLYNOMIALS;

D O I：

10.1007/s00029-016-0253-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We review and further develop a general approach to Schur positivity of symmetric functions based on the machinery of noncommutative Schur functions. This approach unifies ideas of Assaf, Lam, and Greene and the second author.

引用

页码：727 / 766

页数：40

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