Classifying Several Classes of Leibniz Algebras

Chelsie Batten Ray; Allison Hedges; Ernest Stitzinger

Classifying Several Classes of Leibniz Algebras

Rings and Algebras 2015-06-17 v1

Authors: Chelsie Batten Ray , Allison Hedges , Ernest Stitzinger

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.

Keywords

lie algebras and superalgebras algebra classification and gradings lie algebras

Cite

@article{arxiv.1301.6123,
  title  = {Classifying Several Classes of Leibniz Algebras},
  author = {Chelsie Batten Ray and Allison Hedges and Ernest Stitzinger},
  journal= {arXiv preprint arXiv:1301.6123},
  year   = {2015}
}

Comments

10 pages

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