Twisted Gelfand Pairs of Complex Reflection Groups and r-Congruence Properties of Schur Functions

被引：0

作者：

Hiroshi Mizukawa

机构：

[1] National Defense Academy of Japan,Department of Mathematics

来源：

Annals of Combinatorics | 2011年 / 15卷

关键词：

05A17; 05E05; 05E10; Schur functions; cores and quotients of partitions; twisted Gelfand pairs;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This note gives the r-congruence properties of Schur functions which arise from a twisted Gelfand pair (G(r, 1, n), Sn, sgn). Numerators of the Weyl character formula of type A appear in Specht modules for the complex reflection groups indexed by column partitions. This fact is applied to the study of Schur functions.

引用

页码：119 / 125

页数：6

共 30 条

[1] Twisted Gelfand Pairs of Complex Reflection Groups and r-Congruence Properties of Schur Functions
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