On Foulkes' conjecture

被引：8

作者：

Doran, WF ^{[1
]}

机构：

[1] CALTECH, Dept Math, Pasadena, CA 91125 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1998年 / 130卷 / 01期

关键词：

D O I：

10.1016/S0022-4049(97)00087-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Foulkes' (1950) conjecture is that if a less than or equal to b then id up arrow(SawrSb)(Sab) is a subrepresentation of id up arrow(SbwrSa)(Sab). This paper gives three conjectures which would imply Foulkes' conjecture. All three conjectures are of the form of showing that a certain linear map between two combinatorial defined vector spaces is one-to-one. One of these conjectures is equivalent to a conjecture of Black and List [1]. The other two are new. Some partial results are provided. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：85 / 98

页数：14