[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b160029

WEAK HOPF ALGEBRAS CORRESPONDING TO NON-STANDARD QUANTUM GROUPS

Cheng, Cheng (College of Applied Sciences Beijing University of Technology)
Yang, Shilin (College of Applied Sciences Beijing University of Technology)

Publication Information

Bulletin of the Korean Mathematical Society / v.54, no.2, 2017 , pp. 463-484 More about this Journal

Abstract

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 $wX_q(A_1)$ .

Keywords

non-standard quantum group; weak Hopf algebra; ClebschGordan decomposition;

Citations & Related Records

Reference

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