Nonabelian extensions of Lie 2-algebras

Chen Shaohan; Sheng Yunhe; Zheng Zhujun

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Nonabelian extensions of Lie 2-algebras

Chen Shaohan 1,Sheng Yunhe 2,Zheng Zhujun 1

1.School of Science, South China University of Technology, Guangzhou 510641

2.Department of Mathematics, Jilin University, Changchun 130012

*Correspondence author

#Submitted by

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Funding: Doctoral Fund. of MEC （No.20100061120096）

Opened online: 9 March 2012

Accepted by: none

Citation: Chen Shaohan,Sheng Yunhe,Zheng Zhujun.Nonabelian extensions of Lie 2-algebras[OL]. [ 9 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4468461

In this paper, the notion of derivations of Lie 2-algebras is introduced, and the associated derivation Lie 3-algebra is constructed.Proving that isomorphism classes of non-abelian extensions of Lie2-algebras are classified by equivalence classes of morphisms from aLie 2-algebra to a derivation Lie 3-algebra..

Keywords:derivations of Lie 2-algebras;derivation Lie 3-algebra;non-abelian extensions

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