Weak Hopf Algebras Corresponding to the Non-Standard Deformation of Type $B_n$
Received:October 27, 2017  Revised:August 12, 2018
Key Word: non-standard quantum group   weak Hopf algebra   Ext quiver  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11671024; 11471186) and the Natural Science Foundation of Beijing (Grant No.1162002)
Author NameAffiliation
Cheng CHENG College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China 
Shilin YANG College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China 
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Abstract:
      We introduce a non-standard quantum group $X_q(B_n)$ of type $B_{n}$ which is a Hopf algebra. Then we replace the group of grouplike elements of $X_q(B_n)$, and obtain a weak Hopf algebra $\mathfrak{w}X_q(B_{n})$. Finally, we describe the Ext-quiver of $\mathfrak{w}X_q(B_{n})$ as a coalgebra.
Citation:
DOI:10.3770/j.issn:2095-2651.2018.06.003
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