Lie algebras with few centralizer dimensions

被引:11
作者
Barnea, Y [1 ]
Isaacs, IM [1 ]
机构
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
关键词
D O I
10.1016/S0021-8693(02)00558-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is known that a finite group with just two different sizes of conjugacy classes must be nilpotent and it has recently been shown that its nilpotence class is at most 3. In this paper we study the analogs of these results for Lie algebras and some related questions. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
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页码:284 / 299
页数:16
相关论文
共 4 条
[1]  
Humphreys J E, 1972, INTRO LIE ALGEBRAS R, DOI DOI 10.1007/978-1-4612-6398-2
[2]  
ISHIKAWA K, IN PRESS ISRAEL J MA
[3]  
Ito N., 1953, NAGOYA MATH J, V6, P17
[4]  
Jacobson N., 1979, Lie algebras