Lie superalgebras whose enveloping algebras satisfy a non-matrix polynomial identity

被引：5

作者：

Bergen, Jeffrey ^{[1
]}

Riley, David ^{[2
]}

Usefi, Hamid ^{[3
]}

机构：

[1] Depaul Univ, Dept Math, Chicago, IL 60614 USA

[2] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

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

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2013年 / 196卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Associative Algebra; Polynomial Identity; Semiprime Ring; Grassmann Algebra; Australian Mathematical Society;

D O I：

10.1007/s11856-012-0158-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a Lie superalgebra with its enveloping algebra U(L) over a field F. A polynomial identity is called non-matrix if it is not satisfied by the algebra of 2x2 matrices over F. We characterize L when U(L) satisfies a non-matrix polynomial identity. We also characterize L when U(L) is Lie solvable, Lie nilpotent, or Lie super-nilpotent.

引用

页码：161 / 173

页数：13

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