• Title, Summary, Keyword: ClebschGordan decomposition

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WEAK HOPF ALGEBRAS CORRESPONDING TO NON-STANDARD QUANTUM GROUPS

  • Cheng, Cheng;Yang, Shilin
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.463-484
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    • 2017
  • We construct a weak Hopf algebra $wX_q(A_1)$ corresponding to non-standard quantum group $X_q(A_1)$. The PBW basis of $wX_q(A_1)$ is described and all the highest weight modules of $wX_q(A_1)$ are classified. Finally we give the Clebsch-Gordan decomposition of the tensor product of two highest weight modules of $wX_q(A_1)$.