| Weak Hopf Algebra in Yetter-Drinfeld Categories and Weak Biproducts |
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| 作者姓名： | 赵文正 王彩虹 |
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| 作者单位： | Department of Mathematics Henan Normal University，Xinxiang，Henan，453007，Department of Mathematics，Henan Normal University，Xinxiang，Henan，453007 |
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| 基金项目： | The NSF (200510476001) of Education Department of Henan Province. |
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| 摘 要： | The Yetter-Drinfeld category of the Hopf algebra over a field is a pre braided category. In this paper we prove this result for the weak Hopf algebra. We study the smash product and smash coproduct, weak biproducts in the weak Hopf algebra over a field k. For a weak Hopf algebra A in left Yetter-Drinfeld category HHYD. we prove that the weak biproducts of A and H is a weak Hopf algebra.
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| 关 键 词： | 弱Hopf代数 弱双积 Yetter-Drinfeld范畴 压挤乘积 |
Weak Hopf Algebra in Yetter-Drinfeld Categories and Weak Biproducts |
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| ZHAO Wen-zheng and WANG Cai-hong.Weak Hopf Algebra in Yetter-Drinfeld Categories and Weak Biproducts[J].Northeastern Mathematical Journal,2005,21(4):492-502. |
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| Authors: | ZHAO Wen-zheng and WANG Cai-hong |
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| Institution: | Department of Mathematics, Henan Normal University, Xinxiang, Henan, 453007 |
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| Abstract: | The Yetter-Drinfeld category of the Hopf algebra over a field is a pre braided category. In this paper we prove this result for the weak Hopf algebra. We study the smash product and smash coproduct, weak biproducts in the weak Hopf algebra over a field k. For a weak Hopf algebra A in left Yetter-Drinfeld category HHYD. we prove that the weak biproducts of A and H is a weak Hopf algebra. |
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| Keywords: | weak Hopf algebra weak biproduct Yetter-Drinfeld category |
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