Enveloping algebras of solvable Malcev algebras of dimension five
Rings and Algebras
2010-08-13 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We study the universal enveloping algebras of the one-parameter family of solvable 5-dimensional non-Lie Malcev algebras. We explicitly determine the universal nonassociative enveloping algebras (in the sense of Perez-Izquierdo and Shestakov) and the centers of the universal enveloping algebras. We also determine the universal alternative enveloping algebras.
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Cite
@article{arxiv.1008.1994,
title = {Enveloping algebras of solvable Malcev algebras of dimension five},
author = {Murray R. Bremner and Marina V. Tvalavadze},
journal= {arXiv preprint arXiv:1008.1994},
year = {2010}
}
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18 pages