Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (4): 1134-1142.doi: 10.1016/S0252-9602(10)60111-7

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QUANTIZATION OF LIE ALGEBRAS OF BLOCK TYPE

 CHENG Yong-Sheng1,2, SU Yu-Cai1   

  1. 1.Department of Mathematics, University of Science and Technology of |China, Hefei 230026, China;

    2.School of Mathematics and Information Science, Henan University, Kaifeng 475001, China
  • Received:2007-04-23 Revised:2008-07-15 Online:2010-07-20 Published:2010-07-20
  • Supported by:

    Project supported by the National Science Foundation  of China (10825101), "One Hundred Talents Program'' from University of Science and Technology of China, and  the China Postdoctoral Science Foundation (20090450810)

Abstract:

In this article, we use the general method of quantization by Drinfeld's twist to quantize explicitly the Lie bialgebra structures on Lie algebras of Block type.

Key words: Quantization, Lie bialgebras,  Drinfeld twist, Lie algebras of Block type

CLC Number: 

  • 17B56
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