Lie Properties of Restricted Enveloping Algebras
Rings and Algebras
2015-11-02 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1510.08912,
title = {Lie Properties of Restricted Enveloping Algebras},
author = {Salvatore Siciliano and Hamid Usefi},
journal= {arXiv preprint arXiv:1510.08912},
year = {2015}
}