Some generalizations of the notion of Lie algebra
Differential Geometry
2011-10-27 v2
Abstract
We introduce the notion of left (and right) quasi-Loday algebroids and a "universal space" for them, called a left (right) omni-Loday algebroid, in such a way that Lie algebroids, omni-Lie algebras and omni-Loday algebroids are particular substructures.
Cite
@article{arxiv.1005.4617,
title = {Some generalizations of the notion of Lie algebra},
author = {Dennise García-Beltrán and José A. Vallejo},
journal= {arXiv preprint arXiv:1005.4617},
year = {2011}
}
Comments
Second version. 14 pages. Included some comments about previous works related to Leibniz algebras, and updated bibliography. A new example added