Journal
ALGEBRAS AND REPRESENTATION THEORY
Volume 16, Issue 5, Pages 1507-1519Publisher
SPRINGER
DOI: 10.1007/s10468-012-9367-x
Keywords
Leibniz algebra; Lie algebra; Irreducible module; Simple Leibniz algebra
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Funding
- [01-12-10-978FR MOHE]
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In this paper we describe finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal I generated by squares is isomorphic to the simple Lie algebra sl (2). It is shown that the number of isomorphism classes such of Leibniz algebras coincides with the number of partitions of dim I.
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