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	Lie-Rinehart bialgebras for crossed products
	Chen, Zhuo ; Liu, Zhangju ; Zhong, Deshou
	2011
关键词	POISSON GROUPOIDS GERSTENHABER ALGEBRAS
英文摘要	Let g be a Lie algebra over a field K. Endow the polynomial ring K[t] with a g-action by derivations and consider the resulting crossed product K[t] circle dot(theta) g in the category of (K, K[t])-Lie algebras. We explore Lie-Rinehart bialgebra structures on (K[t], K [t] circle dot(theta) g) that arise via compatible pairs and epsilon-dynamical r-matrices. We give a complete classification for g = sl(2, K). (C) 2010 Elsevier B.V. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 6; 1270-1283; 215
语种	英语
出处	SCI
出版者	journal of pure and applied algebra
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/239255]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Zhuo,Liu, Zhangju,Zhong, Deshou. Lie-Rinehart bialgebras for crossed products. 2011-01-01.

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