| Two-Parameter Weak Hopf Algebras Corresponding to Borcherds-Cartan Matrix |
| Received:February 16, 2009 Revised:May 16, 2009 |
| Key Words:
Kac-Moody algebras weak antipode Borcherds-Cartan matrix.
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| Fund Project:the National Natural Science Foundation of China (Nos.10671016; 10771014); the Foundation of Beijing Educational Committee (No.KM200710005013). |
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| Abstract: |
| In this paper a class of two-parameter weak Hopf algebras $w_{r,s}^{\tau}({\mathfrak g})$ corresponding to Borcherds-Cartan matrix is constructed. This class consists of noncommutative and noncocommutative weak Hopf algebras but not Hopf algebras. It can be viewed as a generalized class of one-parameter weak Hopf algebras $wU_q({\mathfrak g})$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.20**.**.*** |
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