1203.0367 (Shaohan Chen et al.)

Non-abelian Extensions of Lie 2-algebras    [PDF]

Shaohan Chen, Yunhe Sheng, Zhujun Zheng

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.

View original: http://arxiv.org/abs/1203.0367