Acta Mathematica Sinica

, Volume 20, Issue 2, pp 305–318

On Quasi-Bicrossed Products of Weak Hopf Algebras


DOI: 10.1007/s10114-004-0325-3

Cite this article as:
Li, F. Acta Math Sinica (2004) 20: 305. doi:10.1007/s10114-004-0325-3


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.


Weak Hopf algebraBicrossed productQuantum double

MR (2000) Subject Classification


Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Department of MathematicsZhejiang UniversityHangzhouP. R. China