Varieties of nilpotent elements for simple Lie algebras I: Good primes

被引：8

作者：

Benson, DJ ^{[1
]}

Bergonio, P ^{[1
]}

Boe, BD ^{[1
]}

Chastkofsky, L ^{[1
]}

Cooper, B ^{[1
]}

Guy, GM ^{[1
]}

Hyun, JJ ^{[1
]}

Jungster, J ^{[1
]}

Matthews, G ^{[1
]}

Mazza, N ^{[1
]}

Nakano, DK ^{[1
]}

Platt, K ^{[1
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

JOURNAL OF ALGEBRA | 2004年 / 280卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.jalgebra.2004.05.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a simple algebraic group over k = C, or F-p where p is good. Set g = Lie G. Given r is an element of N and a faithful (restricted) representation rho: g --> gl(V), one can define a variety of nilpotent elements N-r,(rho)(g) = {x is an element of g: rho(x)(r) = 0}. In this paper we determine this variety when rho is an irreducible representation of minimal dimension or the adjoint representation. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：719 / 737

页数：19

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