| Quantum Groups by Ore Extensions Associated withGroup Algebras |
| Received:March 23, 1999 |
| Key Words:
Quantum group centre quantum Yang-Baxter module irreducible repre-sentation.
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| Fund Project:Supported by the National Natural Science Foundation of China (10071078) and the Young Teacher's Projects from the Chinese Education Ministry. |
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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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2002.02.007 |
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