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	LEIBNIZ 2-ALGEBRAS AND TWISTED COURANT ALGEBROIDS
	Sheng, Yunhe ; Liu, Zhangju
	2013
关键词	Dirac structure Leibniz 2-algebra Omni-Lie 2-algebras The first Pontryagin class Twisted Courant algebroid DIRAC STRUCTURES LIE 2-ALGEBRAS HOMOTOPY GEOMETRY
英文摘要	In this article, we give the categorification of Leibniz algebras, which is equivalent to 2-term sh Leibniz algebras. They reveal the algebraic structure of omni-Lie 2-algebras introduced in [26] as well as twisted Courant algebroids by closed 4-forms introduced in [13]. We also prove that Dirac structures of twisted Courant algebroids give rise to 2-term L-algebras and geometric structures behind them are exactly H-twisted Lie algebroids introduced in [10].; Mathematics; SCI(E); 0; ARTICLE; 5; 1929-1953; 41
语种	英语
出处	SCI
出版者	communications in algebra
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/223641]
专题	数学科学学院
推荐引用方式 GB/T 7714	Sheng, Yunhe,Liu, Zhangju. LEIBNIZ 2-ALGEBRAS AND TWISTED COURANT ALGEBROIDS. 2013-01-01.

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