| 拟三角Hopf代数的Ore -扩张 |
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| 引用本文： | 王志华,李立斌. 拟三角Hopf代数的Ore -扩张[J]. 数学物理学报(A辑), 2009, 29(6): 1572-1579 |
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| 作者姓名： | 王志华 李立斌 |
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| 作者单位： | 王志华(南京师范大学泰州学院数学系,江苏,泰州,225300);李立斌(扬州大学数学科学学院,江苏,扬州,225002) |
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| 摘 要： | 该文主要考虑了拟三角Hopf代数的某种Ore -扩张问题. 对拟三角Hopf代数的Ore -扩张何时保持相同的拟三角结构给出了充分必要条件. 最后作为应用, 文章讨论了Sweedler Hopf代数和Lusztig小量子群的Ore -扩张结构.
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| 关 键 词： | 拟三角Hopf代数 Ore -扩张 Hopf Ore -扩张 量子群 |
| 收稿时间： | 2007-12-19 |
| 修稿时间： | 2008-10-20 |
Ore Extensions of Quasitriangular Hopf Algebras |
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| Affiliation: | Department of Mathematics, Taizhou College, Nanjing Normal University, Jiangsu Taizhou 225300 |
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| Abstract: | In this paper, a certain Ore extensions of quasitriangular Hopf algebras are considered. And the necessary andsufficient conditions for the Ore extensions of quasitriangular Hopf algebras to be quasitriangular with the same R-structures are also given. Finally, as an application, the Ore extensions of Sweedler Hopf algebra and Lusztig small quantum group are discussed. |
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| Keywords: | Quasitriangular Hopf algebra Ore extension Hopf Ore extension Quantum group |
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