Non-abelian Extensions of Lie 2-algebras
Mathematical Physics
2015-06-04 v2 math.MP
Abstract
In this paper, we introduce the notion of derivations of Lie 2-algebras and construct the associated derivation Lie 3-algebra. We prove that isomorphism classes of non-abelian extensions of Lie 2-algebras are classified by equivalence classes of morphisms from a Lie 2-algebra to a derivation Lie 3-algebra.
Keywords
Cite
@article{arxiv.1203.0367,
title = {Non-abelian Extensions of Lie 2-algebras},
author = {Shaohan Chen and Yunhe Sheng and Zhujun Zheng},
journal= {arXiv preprint arXiv:1203.0367},
year = {2015}
}
Comments
17 pages, Sci. China. Math. (2012) Vol. 55 No. 8: 1655-1668