Invariants of Specht modules

被引：2

作者：

Donkin, Stephen ^{[1
]}

Geranios, Haralampos ^{[1
]}

机构：

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

来源：

JOURNAL OF ALGEBRA | 2015年 / 439卷

基金：

英国工程与自然科学研究理事会;

关键词：

Specht modules; Invariants; Filtrations; REPRESENTATIONS; ALGEBRAS; FUNCTORS;

D O I：

10.1016/j.jalgebra.2015.05.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [14] Hemmer conjectures that the module of fixed points for the symmetric group Sigma(m) of a Specht module for Sigma(n) (with n > m), over a field of positive characteristic p, has a Specht series, when viewed as a En-m-module. We provide a counterexample for each prime p. The examples have the same form for p >= 5 and we treat the cases p = 3 and p = 2 separately. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：188 / 224

页数：37

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