Non-abelian Extensions of Lie 2-algebras

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.

17 pages, Sci. China. Math. (2012) Vol. 55 No. 8: 1655-1668

References in corpus (1)

• Extensions of (super) Lie algebras

Cited by in corpus (5)

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• Deformations of Lie 2-algebras
• Automorphisms of extensions of Lie-Yamaguti algebras and Inducibility problem
• Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras
• A cohomology theory for Lie 2-algebras