Lie identities on symmetric elements of restricted enveloping algebras
Rings and Algebras
2015-11-02 v1
Abstract
Let L be a restricted Lie algebra over a field of characteristic p > 2 and denote by u(L) its restricted enveloping algebra. We determine the conditions under which the set of symmetric elements of u(L) with respect to the principal involution is Lie solvable, Lie nilpotent, or bounded Lie Engel.
Keywords
Cite
@article{arxiv.1510.08914,
title = {Lie identities on symmetric elements of restricted enveloping algebras},
author = {S. Siciliano and H. Usefi},
journal= {arXiv preprint arXiv:1510.08914},
year = {2015}
}