Quantum Double Constructions for Compact Quantum Group  

作　　者：Ming LIU Xia ZHANG 

机构地区：[1]School of Science, TianJin Polytechnic University

出　　处：《Acta Mathematica Sinica,English Series》2013年第12期2273-2282,共10页数学学报（英文版）

基　　金：supported by the scientific research fund for young teachers of Tianjin Polytechnic University(Grant No.029960);supported by National Natural Science Foundation of China(Grant No.11171015)

摘　　要：For a non-degenerate pair of compact quantum groups, we first construct the quantum double as an algebraic compact quantum group in an algebraic framework. Then by adopting some completion procedure, we give the universal and reduced quantum double constructions in the correspondence C＊-algebraic settings, which generalize Drinfeld＇s quantum double construction and yield new C＊-algebraic compact quantum groups.For a non-degenerate pair of compact quantum groups, we first construct the quantum double as an algebraic compact quantum group in an algebraic framework. Then by adopting some completion procedure, we give the universal and reduced quantum double constructions in the correspondence C＊-algebraic settings, which generalize Drinfeld＇s quantum double construction and yield new C＊-algebraic compact quantum groups.

关 键 词：Compact quantum group PAIRING quantum double Haar state 

分 类 号：O152.5[理学—数学] F426.9[理学—基础数学]