Abstract
In this paper, we give the notion of derivations of Lie 2-algebras using explicit formulas, 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.
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Chen, S., Sheng, Y. & Zheng, Z. Non-abelian extensions of Lie 2-algebras. Sci. China Math. 55, 1655–1668 (2012). https://doi.org/10.1007/s11425-012-4398-7
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DOI: https://doi.org/10.1007/s11425-012-4398-7