Fialowski Alice, Mihálka Éva Zsuzsanna
Published 2015-02-25Version 1
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.
Comments: to appear Algebras and Representation Theory 2015
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On related varieties to the commuting variety of a semisimple Lie algebra
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