, Volume 20, Issue 2, pp 305-318

On Quasi-Bicrossed Products of Weak Hopf Algebras

Abstract

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.

Project supported by the National Natural Science Foundation of China (No. 19971074) and also by the Natural Science Foundation of Zhejiang Province (No. 102028)