English

On Lie-isoclinic Leibniz algebras

Rings and Algebras 2016-03-29 v1

Abstract

In this paper we study the notion of isoclinism on Lie-central extensions of Leibniz algebras, this yields to introduce the concept of Lie-isoclinic Leibniz algebras. We provide several equivalent conditions under which Leibniz algebras are Lie-isoclinic. We also define the concept of Schur Lie-multiplier and analyze its connection with Lie-isoclinism.

Keywords

Cite

@article{arxiv.1603.08446,
  title  = {On Lie-isoclinic Leibniz algebras},
  author = {G. R. Biyogmam and J. M. Casas},
  journal= {arXiv preprint arXiv:1603.08446},
  year   = {2016}
}