On Eigenvalues of Group Elements in Representations of Simple Algebraic Groups and Finite Chevalley Groups

被引：12

作者：

Zalesski, A. E. ^{[1
]}

机构：

[1] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England

来源：

ACTA APPLICANDAE MATHEMATICAE | 2009年 / 108卷 / 01期

关键词：

Eigenvalues; Eigenspaces; Representations; Simple Lie algebras; Algebraic groups; Lie groups; Chevalley groups; Finite groups of Lie type; IRREDUCIBLE REPRESENTATIONS; MINIMUM POLYNOMIALS; LINEAR-GROUPS; LIE TYPE; ORDER; MULTIPLICITIES; MATRICES; MODULES; THEOREM; NUMBER;

D O I：

10.1007/s10440-008-9373-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is an expository paper discussing a number of problems on eigenvalues of elements in representations of algebraic groups and finite Chevalley groups. We stress on the algebraic group case which relates also to similar problems for Lie groups and Lie algebras.

引用

页码：175 / 195

页数：21

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