李立斌,李尚志.群代数Ore扩张的量子群(英文)[J].数学研究及应用,2002,22(2):205~211 |
群代数Ore扩张的量子群(英文) |
Quantum Groups by Ore Extensions Associated withGroup Algebras |
投稿时间:1999-03-23 |
DOI:10.3770/j.issn:1000-341X.2002.02.007 |
中文关键词: |
英文关键词:Quantum group centre quantum Yang-Baxter module irreducible repre-sentation. |
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中文摘要: |
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. |
英文摘要: |
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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