| 群代数Ore扩张的量子群 |
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| 引用本文： | 李立斌,李尚志. 群代数Ore扩张的量子群[J]. 数学研究及应用, 2002, 22(2): 205-211 |
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| 作者姓名： | 李立斌 李尚志 |
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| 作者单位： | 1. 扬州大学数学系,江苏,扬州,225002
2. 中国科学技术大学数学系,安徽,合肥,230026 |
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| 基金项目： | Supported by the National Natural Science Foundation of Chinaa(10071078)andthe Young Teacher's Projects from the Chinese Education Ministry． |
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| 摘 要： | 本文讨论由Beattie通过群代数的Ore扩张所构造的量子群的中心和Yang－Baxter模范畴．此外,完全刻画了这类量子群的不可约表示．
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| 关 键 词： | 群代数 Ore扩张 量子群 中心 模范畴 不可约表示 |
| 收稿时间： | 1999-03-23 |
Quantum Groups by Ore Extensions Associated withGroup Algebras |
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| LI Li-bia and LI Shang-zhi. Quantum Groups by Ore Extensions Associated withGroup Algebras[J]. Journal of Mathematical Research with Applications, 2002, 22(2): 205-211 |
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| Authors: | LI Li-bia and LI Shang-zhi |
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| Affiliation: | Dept. of Math.; Yangzhou University; Jiangsu; China;Dept. of Math.; Univ. of Sci. & Tech. of China; Hefei; China |
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| Abstract: | As a continuation of the work of Beattie on quantum groups constructed byOre extensions, in this paper, we characterize their centre and discuss the category ofquantum Yang-Baxter modules over them. In addition, we determine all finite dimen-sional irreducible representations over these quantum groups. |
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| Keywords: | Quantum group centre quantum Yang-Baxter module irreducible repre-sentation. |
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