The Structure of Weak Hopf Algebras Corresponding to U q (sl 2) |
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| Authors: | Dongming Cheng Fang Li |
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| Institution: | 1. Department of Mathematics , Zhejiang University , Hangzhou, Zhejiang, China dmcheng@mail.haust.edu.cn;3. Department of Mathematics , Zhejiang University , Hangzhou, Zhejiang, China |
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| Abstract: | The structure of weak Hopf algebras corresponding to U q (sl 2) are classified by their algebra structure and coalgebra structure. The algebra structure of weak Hopf algebras corresponding to U q (sl 2) can be written as the direct sum of U q (sl 2) and an algebra of polynomials. The coalgebra structure of weak Hopf algebras corresponding to U q (sl 2) are classified by their Ext quiver. There are four types of such structures. |
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| Keywords: | Decomposition Ext quiver Weak Hopf algebra |
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