English

Leibniz Algebras and Lie Algebras

Rings and Algebras 2013-10-24 v2

Abstract

This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.

Keywords

Cite

@article{arxiv.1201.5071,
  title  = {Leibniz Algebras and Lie Algebras},
  author = {Geoffrey Mason and Gaywalee Yamskulna},
  journal= {arXiv preprint arXiv:1201.5071},
  year   = {2013}
}