Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 5: 1009 - 1020

DOI: https://doi.org/10.1007/s11464-011-0152-7

RESEARCH ARTICLE

Coquasitriangular Hopf group coalgebras and braided monoidal categories

  • Meiling ZHU ,
  • Huixiang CHEN ,
  • Libin LI
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  • School of Mathematical Science, Yangzhou University, Yangzhou 225002, China

Received date: 07 Jul 2010

Accepted date: 14 Jul 2011

Published date: 01 Oct 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Let π be a group, and let H be a Hopf π-coalgebra. We first show that the category ℳH of right π-comodules over H is a monoidal category and there is a monoidal endofunctor (Fα, id, id) of ℳH for any α∈π. Then we give the definition of coquasitriangular Hopf π-coalgebras. Finally, we show that H is a coquasitriangular Hopf π-coalgebra if and only if ℳH is a braided monoidal category and (Fα, id, id) is a braided monoidal endofunctor of ℳH for any α∈π.

Key words： H-π-comodule; braided monoidal category; braided monoidal functor

Cite this article

Meiling ZHU , Huixiang CHEN , Libin LI . Coquasitriangular Hopf group coalgebras and braided monoidal categories[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 1009 -1020 . DOI: 10.1007/s11464-011-0152-7

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