Lie Properties of Restricted Enveloping Algebras

被引：3

作者：

Siciliano, Salvatore ^{[1
]}

Usefi, Hamid ^{[2
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Via Prov Lecce Arnesano, I-73100 Lecce, Italy

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

来源：

LIE ALGEBRAS AND RELATED TOPICS | 2015年 / 652卷

关键词：

Restricted Lie algebra; restricted enveloping algebra; polynomial identity; skew-symmetric elements; symmetric elements; GROUP-RINGS; POLYNOMIAL IDENTITY; SYMMETRIC ELEMENTS; NILPOTENT; SUPERALGEBRAS; INVOLUTION;

D O I：

10.1090/conm/652/12949

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a restricted Lie algebra over a field of positive characteristic. We survey the known results about the Lie structure of the restricted enveloping algebra u(L) of L. Related results about the structure of the group of units and the symmetric and skew-symmetric elements of u(L) are also discussed. Moreover, a new theorem about an upper bound for the Lie nilpotency class of u(L) is proved.

引用

页码：141 / 152

页数：12

共 39 条

[1] RINGS WITH INVOLUTION [J].