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arXiv · 1510.08912

Lie Properties of Restricted Enveloping Algebras

Salvatore Siciliano·Hamid Usefi
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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.

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Salvatore Siciliano, Hamid Usefi. 2015-10-29. Lie Properties of Restricted Enveloping Algebras. https://arxiv.org/abs/1510.08912

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