Pairing and Quantum Double of Finite Hopf C~*-Algebras  

作　　者：Ming LIU Li Ning JIANG Guo Sheng ZHANG 

机构地区：[1]Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第6期1121-1128,共8页数学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.10301004);Excellent Young Scholars Research Fund of Beijing Institute of Technology(00Y07-25)

摘　　要：This paper defines a pairing of two finite Hopf C^＊-algebras A and B, and investigates the interactions between them. If the pairing is non-degenerate, then the quantum double construction is given. This construction yields a new finite Hopf C^＊-algebra D（A, B）. The canonical embedding maps of A and B into the double are both isometric.This paper defines a pairing of two finite Hopf C^＊-algebras A and B, and investigates the interactions between them. If the pairing is non-degenerate, then the quantum double construction is given. This construction yields a new finite Hopf C^＊-algebra D（A, B）. The canonical embedding maps of A and B into the double are both isometric.

关 键 词：Hopf C^＊-algebra PAIRING quantum double GNS representation 

分 类 号：O17[理学—数学]