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On the second cohomology group of simple Leibniz algebras (1502.00609v1)
Published 2 Feb 2015 in math.RA and math.RT
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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