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Weak Hopf Algebras Corresponding to Non-standard Quantum Groups
CHENG Cheng,YANG Shi-Lin *
College of Applied Sciences, Beijin University of technology, Beijing 100124
*Correspondence author
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Funding: National NaturalScience Foundation of China （No.Grant. 11271043; 11471186）, the Specialized Research Fund for the Doctoral Program of Higher Education of China（No.Grant No.20111103110011）
Opened online:18 December 2015
Accepted by: none
Citation: CHENG Cheng,YANG Shi-Lin.Weak Hopf Algebras Corresponding to Non-standard Quantum Groups[OL]. [18 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4670719
 
 
We construct a weak Hopf algebra $wx$ corresponding to non-standard quantum group $X_q(A_1)$.The PBW basis of $wx$ is described and all the highest weight modules of $wx$ are classified.Finally we give the Clebsch-Gordan decomposition of the tensor product of two highest weight modules of $wx$.
Keywords:Non-standard quantum group, weak Hopf algebra, Clebsch-Gordan decomposition.
 
 
 

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