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Lie Bialgebra Structures on Lie Algebras of Block Type

Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

College of Mathematics and Information Science, Henan University, Kaifeng, Henan 475001, China

College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai, Shandong 264005, China

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Bin Xin

Collage of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China

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https://doi.org/10.1142/S1005386709000649Cited by:5 (Source: Crossref)

Abstract

This paper considers Lie bialgebra structures on Lie algebras of Block type and proves that all such Lie bialgebras are triangular coboundary.

Supported by the NSF of China (10471091, 10861004), the NSF of Shandong Province (Y2006A17) and the NSF of Shandong Provincial Eduction Department (J06P52).

Keywords:

AMSC: 17B62, 17B05, 17B37, 17B66

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Vol. 16, No. 04

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History

Received 30 December 2006

Revised 3 September 2007

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Lie Bialgebra Structures on Lie Algebras of Block Type

Abstract

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