Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 579-585.doi: 10.1016/S0252-9602(12)60040-X

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REPRESENTATIONS OF A LOOP LIE ALGEBRA ASSOCIATED WITH QUANTUM PLANE

 LIANG Jun-Ping, WU Rue-Zhu   

  1. College of Mathematics and Computer Science, Longyan University, Fujian 364012, China; Department of Mathematics, Changshu Institute of Technology, Jiangsu 215500, China
  • Received:2009-09-09 Revised:2010-12-29 Online:2012-03-20 Published:2012-03-20
  • Supported by:

    Supported by NSF 2009J01011 of Fujian of China, NNSF (10826094), and also NSF 08KJD110001 of Jiangsu Educational Committee.

Abstract:

In this article, some modules over a loop Lie algebra associated to quantum plane are constructed. The isomorphism classes among these modules are also determined.

Key words: Loop algebra, quantum plane, module, isomorphism

CLC Number: 

  • 16G30
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