| 关于(f,T)-相容对(B,H)和_H~HYD中的Hopf代数 |
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| 引用本文： | 赵文正.关于(f,T)-相容对(B,H)和_H~HYD中的Hopf代数[J].数学学报,2005,48(2):355-364. |
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| 作者姓名： | 赵文正 |
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| 作者单位： | 河南师范大学数学系,新乡453007 |
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| 基金项目： | 河南教育厅自然科学基金资助项目(1999110012) |
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| 摘 要： | 本文定义了(f,T)-相容对(B,H),利用这样的相容对可以给出一个辫子张量 范畴和一个量子Yang-Baxter方程的解,并且通过扭曲Hopf代数B的乘法,构造 Yetter-Drinfeld范畴中HHyD的Hopf代数.
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| 关 键 词： | Yetter-Drinfeld范畴 拟三角Hopf代数 量子Yang-Baxter算子 |
On (f, T)-Compatible Pair (B, H) and Hopf Algebra in _H~HYD |
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| Wen Zheng ZHAO.On (f, T)-Compatible Pair (B, H) and Hopf Algebra in _H~HYD[J].Acta Mathematica Sinica,2005,48(2):355-364. |
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| Authors: | Wen Zheng ZHAO |
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| Institution: | Wen Zheng ZHAO Department of Mathematics, Henan Normal University, Xinxiang 453007, P. R. China |
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| Abstract: | In this paper we define a (f,T)-compatible pair (B,H). Using such a pair (B, H), we can construct a new braided monoidal category, which is submonoidal category of left H-modules category HM, and obtain a kind of new quantum Yang-Baxter operators. We also construct a Hopf algebra in the Yetter-Drinfel category HHYD by twisting the com ultiplication of B. |
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| Keywords: | Yetter-Drifeld category Quasitriangular Hopf algebra Quantum YangBaxter operator |
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