Articles

REPRESENTATIONS OF A LOOP LIE ALGEBRA ASSOCIATED WITH QUANTUM PLANE

  • LIANG Jun-Ping ,
  • WU Rue-Zhu
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  • College of Mathematics and Computer Science, Longyan University, Fujian 364012, China; Department of Mathematics, Changshu Institute of Technology, Jiangsu 215500, China

Received date: 2009-09-09

  Revised date: 2010-12-29

  Online 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.

Cite this article

LIANG Jun-Ping , WU Rue-Zhu . REPRESENTATIONS OF A LOOP LIE ALGEBRA ASSOCIATED WITH QUANTUM PLANE[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 579 -585 . DOI: 10.1016/S0252-9602(12)60040-X

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