Non-abelian Extensions of Lie 2-algebras
classification
🧮 math-ph
math.MP
keywords
algebraalgebrasclassesderivationextensionsnon-abelianassociatedclassified
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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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