English

Remarks on Leibniz algebras

Representation Theory 2014-08-12 v1 Rings and Algebras

Abstract

In this paper, first we construct a Lie 2-algebra associated to every Leibniz algebra via the skew-symmetrization. Furthermore, we introduce the notion of the naive representation for a Leibniz algebra in order to realize the abstract operations as a concrete linear operation. At last, we study some properties of naive cohomologies.

Keywords

Cite

@article{arxiv.1408.2225,
  title  = {Remarks on Leibniz algebras},
  author = {Yunhe Sheng and Zhangju Liu},
  journal= {arXiv preprint arXiv:1408.2225},
  year   = {2014}
}

Comments

11 pages

R2 v1 2026-06-22T05:24:23.279Z