Representations of Leibniz Algebras
Representation Theory
2015-02-26 v1
Abstract
In this paper we prove that every irreducible representation of a Leibniz algebra can be obtained from irreducible representations of the semisimple Lie algebra from the Levi decomposition. We also prove that - in general - for (semi)simple Leibniz algebras it is not true that a representation can be decomposed to a direct sum of irreducible components.
Keywords
Cite
@article{arxiv.1502.07287,
title = {Representations of Leibniz Algebras},
author = {Fialowski Alice and Mihálka Éva Zsuzsanna},
journal= {arXiv preprint arXiv:1502.07287},
year = {2015}
}
Comments
to appear Algebras and Representation Theory 2015