Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (6): 2105-2118.doi: 10.1016/S0252-9602(12)60163-5

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POLYNOMIAL REPRESENTATIONS OF THE AFFINE NAPPI-WITTEN LIE ALGEBRA cH4

 CHEN Xue1, HUANG Zhi-Li2   

  1. 1.Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240 China|2.School of Information Science and Technology, Xiamen University, Xiamen 361005 China
  • Received:2011-08-09 Revised:2011-12-02 Online:2012-11-20 Published:2012-11-20
  • Supported by:

    Supported in part by NSFC (10871125, 10931006) and a grant of Science and Technology Commission of Shanghai Municipality (09XD1402500).

Abstract:

In this paper, the representation theory for the affine Lie algebra bH4 associated to the Nappi-Witten Lie algebra H4 is studied. Polynomial representations of the affine Nappi-Witten Lie algebra bH4 are given.

Key words: affine Nappi-Witten Lie algebra, polynomial, representation

CLC Number: 

  • 17B69
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