arXiv subjects

Chelsie Batten Ray

Publications and source records attributed to Chelsie Batten Ray.

2 recordsLinked to original sources

arXiv2013

Classifying Several Classes of Leibniz Algebras

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.

math.RA↗

arXiv2012

Nilpotent Lie and Leibniz algebras

We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further.

math.RA↗