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arXiv 1203.0367math-phmath.MP
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Lie 2-代数的非交换扩张

Non-abelian Extensions of Lie 2-algebras

Shaohan Chen, Yunhe Sheng, Zhujun Zheng

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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