| Weak Hopf Algebras Corresponding to Borcherds-Cartan Matrices |
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| 作者姓名： | Li Xia YE Zhi Xiang WU Xue Feng MEI |
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| 作者单位： | [1]Department of Computer Science, Zhejiang Education Institute, Hangzhou 310012, P. R. China [2]Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China [3]Department of Mathematics, Zhejiang Education Institute, Hangzhou 310012, P. R. China |
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| 基金项目： | Supported in part by the Scientific Research Foundation of Zhejiang Provincial Education Department under grant number 20040322. It is also sponsored by SRF for R0CS, SEM |
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| 摘 要： | Let y be a generalized Kac-Moody algebra with an integral Borcherds-Cartan matrix. In this paper, we define a d-type weak quantum generalized Kac-Moody algebra wUq^d（y）, which is a weak Hopf algebra. We also study the highest weight module over the weak quantum algebra wUdq^d（y） and weak A-forms of wUq^d（y）.
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| 关 键 词： | 弱代数 弱量子广义Kac-Moody代数 高权重模块 积分Borcherds-Cartan矩阵 |
| 收稿时间： | 8 March 2006 |
| 修稿时间： | 2006-03-08 |
Weak Hopf Algebras Corresponding to Borcherds–Cartan Matrices |
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| Li Xia YE Zhi Xiang WU Xue Feng MEI.Weak Hopf Algebras Corresponding to Borcherds-Cartan Matrices[J].Acta Mathematica Sinica,2007,23(10):1729-1744. |
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| Authors: | Li Xia Ye Zhi Wu Xiang Xue Feng Mei |
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| Institution: | (1) Department of Computer Science, Zhejiang Education Institute, Hangzhou, 310012, P. R. China;(2) Department of Mathematics, Zhejiang University, Hangzhou, 310027, P. R. China;(3) Department of Mathematics, Zhejiang University, Hangzhou, 310027, P. R. China;(4) Department of Mathematics, Zhejiang Education Institute, Hangzhou, 310012, P. R. China |
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| Abstract: | |
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| Keywords: | weak Hopf algebra weak quantum generalized Kac-Moody algebra highest weight module weak A-form |
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