Non-abelian Extensions of Lie 2-algebras

Details Non-abelian Extensions of Lie 2-algebras Non-abelian Extensions of Lie 2-algebras

2012-03-02

arxiv.org/abs/1203.0367v1

Physics

Mathematical Physics

17 pages, to appear Sci. China. Math

Scientific paper

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.

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