Lie 2-代数的非交换扩张
Non-abelian Extensions of Lie 2-algebras
摘要:
本文引入了导子的概念,并构造了相应的导子李3代数。证明了李2-代数的非交换扩张的同构类可由李2-代数到导子李3-代数的态射的等价类来分类。
英文摘要:
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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