Classifying Several Classes of Leibniz Algebras |
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Authors: | Chelsie Batten Ray Allison Hedges Ernest Stitzinger |
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Institution: | 1. Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC, USA
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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. Note that a classification of elementary Leibniz algebras has been shown in Batten Ray et al. (2011). |
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