English

Leibniz algebras constructed by Witt algebras

Rings and Algebras 2018-04-12 v1

Abstract

We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.

Keywords

Cite

@article{arxiv.1804.03870,
  title  = {Leibniz algebras constructed by Witt algebras},
  author = {L. M. Camacho and B. A. Omirov and T. K. Kurbanbaev},
  journal= {arXiv preprint arXiv:1804.03870},
  year   = {2018}
}