| Weak Hopf Algebras Corresponding to the Non-Standard Deformation of Type $B_n$ |
| Received:October 27, 2017 Revised:August 12, 2018 |
| Key Words:
non-standard quantum group weak Hopf algebra Ext quiver
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11671024; 11471186) and the Natural Science Foundation of Beijing (Grant No.1162002) |
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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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