Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (5): 1499-1506.doi: 10.1016/S0252-9602(13)60099-5

• Articles • Previous Articles    

THE CANONICAL BASIS FOR THE QUANTUM GROUP OF TYPE B2

 ZHANG Jie   

  1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
  • Received:2010-10-25 Revised:2012-12-05 Online:2013-09-20 Published:2013-09-20

Abstract:

We use the Ringel-Hall algebra approach to study the canonical basis elements for the quantum group of type B2 which are characterized in Xi [12]. However, our approach simplifies several computations there.

Key words: Ringel-Hall algebras, representations, quantum groups, Canonical basis

CLC Number: 

  • 16G20
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