Large restricted Lie algebras

被引：11

作者：

Bahturin, Yuri

Olshanskii, Alexander ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Stevenson Ctr 1326, Nashville, TN 37240 USA

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[3] Moscow MV Lomonosov State Univ, Fac Math & Mech, Moscow 119899, Russia

来源：

JOURNAL OF ALGEBRA | 2007年 / 310卷 / 01期

基金：

加拿大自然科学与工程研究理事会; 俄罗斯基础研究基金会; 美国国家科学基金会;

关键词：

Lie algebra; generator; defining relation; nil-algebra;

D O I：

10.1016/j.jalgebra.2006.12.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish some results about large restricted Lie algebras similar to those known in the Group Theory. As an application, we use this group-theoretic approach to produce some examples of restricted as well as ordinary Lie algebras which can serve as counterexamples for various Burnside-type questions. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：413 / 427

页数：15

共 10 条

[1]

Bahturin Yu.A., 1987, IDENTICAL RELATIONS

[2]

BAUMSLAG B, 1978, J LOND MATH SOC, V17, P425

[3]

GOLOD ES, 1964, IZV AKAD NAUK SSSR M, V28, P273

[4]

Jacobson N., 1979, Lie algebras