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arXiv · 1301.6123

Classifying Several Classes of Leibniz Algebras

Chelsie Batten Ray·Allison Hedges·Ernest Stitzinger
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Abstract

We extend results related to maximal subalgebras and ideals from Lie to Leibniz algebras. In particular, we classify minimal non-elementary Leibniz algebras and Leibniz algebras with a unique maximal ideal. In both cases, there are types of these algebras with no Lie algebra analogue. We also give a classification of E-Leibniz algebras which is very similiar to its Lie algebra counterpart.

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Chelsie Batten Ray, Allison Hedges, Ernest Stitzinger. 2013-01-25. Classifying Several Classes of Leibniz Algebras. https://arxiv.org/abs/1301.6123

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