Differential calculus on compact quantum group U I (2) and its applications

被引：2

作者：

Zhang, Xiao Xia ^{[1
]}

机构：

[1] Yantai Univ, Dept Math, Yantai 264005, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 03期

关键词：

compact quantum group; differential calculus; Lie algebra; irreducible corepresentation; SU(2); GROUP;

D O I：

10.1007/s10114-010-7592-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：533 / 554

页数：22

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