On the second cohomology group of simple Leibniz algebras

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 ${\mathfrak{sl}}_2$.

11 pages

References in corpus (1)

• On derivations of semisimple Leibniz algebras