J4 ›› 2010, Vol. 45 ›› Issue (12): 31-32.

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The finite dimensional simple modules over the positive part of the quantum group of A2

LI De-cai1,2, ZHU Mei-ling2, LI Li-bin2*   

  1. 1. Yangzhou Vocational College of Environment and Resoures, Yangzhou 225000, Jiangsu, China;
    2. School of Math, Yangzhou University, Yangzhou 225002, Jiangsu, China
  • Received:2010-03-29 Online:2010-12-16 Published:2011-03-16

Abstract:

It is proved that there exists no finite dimensional simple module with dimension ≥2 over the positive part of the quantum group of type A2.

Key words: quantum group; positive part; simple module

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