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WEAK HOPF ALGEBRAS CORRESPONDING TO NON-STANDARD QUANTUM GROUPS
Bulletin of the Korean Mathematical Society
We construct a weak Hopf algebra wXq(A 1 ) corresponding to non-standard quantum group Xq(A 1 ). The PBW basis of wXq(A 1 ) is described and all the highest weight modules of wXq(A 1 ) are classified. Finally we give the Clebsch-Gordan decomposition of the tensor product of two highest weight modules of wXq(A 1 ).doi:10.4134/bkms.b160029 fatcat:blbl7q4sxvad5cb7xmbfb5yxcm