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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