Matrices, characters and descents

被引：18

作者：

Adin, Ron M. ^{[1
]}

Roichman, Yuval ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 469卷

关键词：

Walsh-Hadamard matrices; Symmetric group; Character formulas; Descents; FINITE-GROUPS; REPRESENTATIONS; INVARIANTS;

D O I：

10.1016/j.laa.2014.11.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new family of asymmetric matrices of Walsh-Hadamard type is introduced. We study their properties and, in particular, compute their determinants and discuss their eigenvalues. The invertibility of these matrices implies that certain character formulas are invertible, yielding expressions for the cardinalities of sets of combinatorial objects with prescribed descent sets in terms of character values of the symmetric group. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：381 / 418

页数：38

共 25 条

[1] Hecke algebra actions on the coinvariant algebra [J].