Differential Calculus on Compact Quantum Group U_θ(2) and its Applications 被引量：2

Differential Calculus on Compact Quantum Group U_θ(2) and its Applications

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摘要 In this paper, via constructing special matrices, we will show that there exists a differential calculus on Uθ（2）, where θ is an irrational number. Then using the above results, we shall discuss the properties of infinitesimal generators of corepresentations of Uθ（2）. And in the final, we shall discuss its irreducible corepresentations and give the Peter-Weyl theorem explicitly for compact quantum group Uθ（2）. In this paper, via constructing special matrices, we will show that there exists a differential calculus on Uθ（2）, where θ is an irrational number. Then using the above results, we shall discuss the properties of infinitesimal generators of corepresentations of Uθ（2）. And in the final, we shall discuss its irreducible corepresentations and give the Peter-Weyl theorem explicitly for compact quantum group Uθ（2）.

作者 Xiao Xia ZHANG

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第3期533-554,共22页 数学学报（英文版）

关键词 compact quantum group differential calculus Lie algebra irreducible corepresentation compact quantum group, differential calculus, Lie algebra, irreducible corepresentation

分类号 O152.5 [理学—基础数学] O172.1 [理学—基础数学]

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同被引文献29

1ZHANG XiaoXia Department of Mathematics,Yantai University,Yantai 264005,China.On the classification of compact quantum groups U_θ(2)[J].Science China Mathematics,2010,53(5):256-269. 被引量：4
2Xiao Xia ZHANG.The Compact Quantum Group Uq（2）（Ⅱ）[J].Acta Mathematica Sinica,English Series,2006,22(4):1221-1226. 被引量：1
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引证文献2

1ZHANG XiaoXia Department of Mathematics,Yantai University,Yantai 264005,China.On the classification of compact quantum groups U_θ(2)[J].Science China Mathematics,2010,53(5):256-269. 被引量：4
2位赛,张小霞.U_θ(2)的代数与拓扑性质[J].烟台大学学报（自然科学与工程版）,2015,28(1):6-9.

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Differential Calculus on Compact Quantum Group U_θ(2) and its Applications 被引量：2

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