On Quasi-Bicrossed Products of Weak Hopf Algebras  

作　　者：FangLI 

机构地区：[1]DepartmentofMathematics,ZhejiangUniversity,Hangzhou310028,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2004年第2期305-318,共14页数学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.19971074);by the Natural Science Foundation of Zhejiang Province(No.102028)

摘　　要：The aim of this paper is to study quasi-bicrossed products and a especially quantum quasi-doubles. Firstly, we construct one new kind of quasi-bicrossed products by weak Hopf algebras and then devote a brief discussion to this matter. And, we discuss the conditions for quasi-bicrossed products to possess the structure of almost weak Hopf algebras, containing the case of a special smash product. At the end, we give some properties on the quantum quasi-double, respectively on the quasi- R-isomorphism, the representation-theoretic interpretation and the regularity of the quasi-R-matrix.The aim of this paper is to study quasi-bicrossed products and a especially quantum quasi-doubles. Firstly, we construct one new kind of quasi-bicrossed products by weak Hopf algebras and then devote a brief discussion to this matter. And, we discuss the conditions for quasi-bicrossed products to possess the structure of almost weak Hopf algebras, containing the case of a special smash product. At the end, we give some properties on the quantum quasi-double, respectively on the quasi- R-isomorphism, the representation-theoretic interpretation and the regularity of the quasi-R-matrix.

关 键 词：Weak Hopf algebra Bicrossed product Quantum double 

分 类 号：O151.21[理学—数学]