Crossed modules for Lie 2-algebras
Rings and Algebras
2014-03-03 v1 Mathematical Physics
math.MP
Abstract
The notion of crossed modules for Lie 2-algebras is introduced. We show that, associated to such a crossed module, there is a strict Lie 3-algebra structure on its mapping cone complex and a strict Lie 2-algebra structure on its derivations. Finally, we classify strong crossed modules by means of the third cohomology group of Lie 2-algebras.
Cite
@article{arxiv.1402.7226,
title = {Crossed modules for Lie 2-algebras},
author = {Honglei Lang and Zhangju Liu},
journal= {arXiv preprint arXiv:1402.7226},
year = {2014}
}
Comments
28 pages