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	Omni-Lie superalgebras and Lie 2-superalgebras
	Zhang, Tao ; Liu, Zhangju
	2014
关键词	Lie 2-superalgebra Leibniz superalgebra Dirac structure COURANT ALGEBROIDS DIRAC STRUCTURES
英文摘要	We introduce the notion of omni-Lie superalgebras as a super version of an omni-Lie algebra introduced by Weinstein. This algebraic structure gives a nontrivial example of Leibniz superalgebras and Lie 2-superalgebras. We prove that there is a one-to-one correspondence between Dirac structures of the omni-Lie superalgebra and Lie superalgebra structures on a subspace of a super vector space.; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 0; ARTICLE; liuzj@pku.edu.cn; 5; 1195-1210; 9
语种	英语
出处	SCI
出版者	frontiers of mathematics in china
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/388132]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang, Tao,Liu, Zhangju. Omni-Lie superalgebras and Lie 2-superalgebras. 2014-01-01.

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