English

On the second cohomology group of simple Leibniz algebras

Rings and Algebras 2015-02-03 v1 Representation Theory

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 sl2\mathfrak{sl}_2.

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Cite

@article{arxiv.1502.00609,
  title  = {On the second cohomology group of simple Leibniz algebras},
  author = {J. Q. Adashev and M. Ladra and B. A. Omirov},
  journal= {arXiv preprint arXiv:1502.00609},
  year   = {2015}
}

Comments

11 pages