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arXiv · 1502.00609

On the second cohomology group of simple Leibniz algebras

J. Q. Adashev·M. Ladra·B. A. Omirov
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Abstract

In this paper we prove some general results on Leibniz 2-cocycles for simple Leibniz algebras. Applying these results we establish the triviality of the second Leibniz cohomology for a simple Leibniz algebra with coefficients in itself, whose associated Lie algebra is isomorphic to $\mathfrak{sl}_2$.

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J. Q. Adashev, M. Ladra, B. A. Omirov. 2015-02-02. On the second cohomology group of simple Leibniz algebras. https://arxiv.org/abs/1502.00609

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