Transmutation theory of a coquasitriangular weak Hopf algebra

doi:10.1007/s11464-011-0149-2

Front Math Chin

2011, Vol. 6

Issue (5) : 855-869 https://doi.org/10.1007/s11464-011-0149-2

RESEARCH ARTICLE

Transmutation theory of a coquasitriangular weak Hopf algebra

Guohua LIU¹, Quanguo CHEN², Haixing ZHU³(

)

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

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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.

Keywords Quantum groupoid weak Hopf algebra braided group braided Hopf algebra

Corresponding Author(s): ZHU Haixing,Email:zhuhaixing@163.com

Issue Date: 01 October 2011

Cite this article:

Guohua LIU,Quanguo CHEN,Haixing ZHU. Transmutation theory of a coquasitriangular weak Hopf algebra[J]. Front Math Chin, 2011, 6(5): 855-869.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-011-0149-2
https://academic.hep.com.cn/fmc/EN/Y2011/V6/I5/855

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