Lie identities on enveloping algebras of restricted Lie superalgebras

被引：6
|
作者：
Usefi, Hamid [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF ALGEBRA | 2013年 / 393卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
PI algebras; Lie algebras; Enveloping algebras; Lie identities; POLYNOMIAL IDENTITY;
D O I：
10.1016/j.jalgebra.2013.06.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L be a restricted Lie superalgebra with its restricted enveloping algebra u(L) over a field IF of characteristic p > 2. Then u(L) can be viewed both as a Lie algebra and a Lie superalgebra. We characterize L when u(L) is Lie solvable, Lie nilpotent, or Lie super-nilpotent. (C) 2013 Elsevier Inc. All rights reserved.
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页码：120 / 131
页数：12
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