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arXiv · 2106.13294

Multipliers and Unicentral Leibniz Algebras

Erik Mainellis
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Abstract

This paper details the Leibniz generalization of Lie-theoretic results from Peggy Batten's 1993 dissertation. We first show that the multiplier of a Leibniz algebra is characterized by its second cohomology group with coefficients in the field. We then establish criteria for when the center of a cover maps onto the center of the algebra. Along the way, we obtain a collection of exact sequences and a brief theory of unicentral Leibniz algebras.

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Erik Mainellis. 2021-06-24. Multipliers and Unicentral Leibniz Algebras. https://arxiv.org/abs/2106.13294

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