Representations of Leibniz Algebras

Fialowski Alice; Mihálka Éva Zsuzsanna

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arXiv · 1502.07287

Representations of Leibniz Algebras

Fialowski Alice·Mihálka Éva Zsuzsanna

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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.

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BibTeX RIS

Fialowski Alice, Mihálka Éva Zsuzsanna. 2015-02-25. Representations of Leibniz Algebras. https://arxiv.org/abs/1502.07287

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