DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY

被引：24

作者：

Assaf, Sami H. ^{[1
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

FORUM OF MATHEMATICS SIGMA | 2015年 / 3卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/fms.2015.15

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We make a systematic study of a new combinatorial construction called a dual equivalence graph. We axiomatize these graphs and prove that their generating functions are symmetric and Schur positive. This provides a universal method for establishing the symmetry and Schur positivity of quasisymmetric functions.

引用

页数：33

共 14 条

[1]

Assaf Sami, 2008, SEM LOTHAR COMBIN, V60

[2] SPLITTING THE SQUARE OF A SCHUR FUNCTION INTO ITS SYMMETRICAL AND ANTISYMMETRIC PARTS [J].