Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 5: 855 - 869

DOI: https://doi.org/10.1007/s11464-011-0149-2

RESEARCH ARTICLE

Transmutation theory of a coquasitriangular weak Hopf algebra

  • Guohua LIU 1 ,
  • Quanguo CHEN 2 ,
  • Haixing ZHU , 3
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  • 1. Department of Mathematics, Southeast University, Nanjing 210096, China
  • 2. Department of Mathematics, Institute of Applied Mathematics, Yili Normal College, Yili 835000, China
  • 3. Department of Mathematics, University of Hasselt, Agoralaan, B-3590 Diepenbeek, Belgium

Received date: 24 Sep 2010

Accepted date: 21 Jun 2011

Published date: 01 Oct 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Let H be a coquasitriangular quantum groupoid. In this paper, using a suitable idempotent element e in H, we prove that eH is a braided group (or a braided Hopf algebra in the category of right H-comodules), which generalizes Majid’s transmutation theory from a coquasitriangular Hopf algebra to a coquasitriangular weak Hopf algebra.

Key words： Quantum groupoid; weak Hopf algebra; braided group; braided Hopf algebra

Cite this article

Guohua LIU , Quanguo CHEN , Haixing ZHU . Transmutation theory of a coquasitriangular weak Hopf algebra[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 855 -869 . DOI: 10.1007/s11464-011-0149-2

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