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	Deformations of Lie 2-algebras
	Liu, Zhangju ; Sheng, Yunhe ; Zhang, Tao
	2014
关键词	Lie 2-algebras Cohomology Deformations Nijenhuis operators Abelian extensions NIJENHUIS STRUCTURES ALGEBRAIC STRUCTURES HOMOTOPY
英文摘要	In this paper, we consider deformations of Lie 2-algebras via the cohomology theory. We prove that a 1-parameter infinitesimal deformation of a Lie 2-algebra g corresponds to a 2-cocycle of g with the coefficients in the adjoint representation. A Nijenhuis operator on a Lie 2-algebra is introduced to describe trivial deformations. We also study abelian extensions of Lie 2-algebras from the viewpoint of deformations of semidirect product Lie 2-algebras. (C) 2014 Elsevier B.V. All rights reserved.; Mathematics, Applied; Physics, Mathematical; SCI(E); 0; ARTICLE; liuzj@pku.edu.cn; shengyh@jlu.edu.cn; zhangtao@pku.edu.cn; 66-80; 86
语种	英语
出处	SCI
出版者	journal of geometry and physics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157271]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, Zhangju,Sheng, Yunhe,Zhang, Tao. Deformations of Lie 2-algebras. 2014-01-01.

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