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Abstract and Applied Analysis
Volume 2013, Article ID 626394, 10 pages
http://dx.doi.org/10.1155/2013/626394
Research Article

New Braided T-Categories over Weak Crossed Hopf Group Coalgebras

1Mathematics and Information Technology School, Jiangsu Second Normal University, Nanjing, Jiangsu 210013, China
2Department of Mathematics, Nanjing Agricultural University, Nanjing, Jiangsu 210095, China

Received 29 August 2013; Accepted 4 October 2013

Academic Editor: Jaan Janno

Copyright © 2013 Xuan Zhou and Tao Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let be a weak crossed Hopf group coalgebra over group ; we first introduce a kind of new α-Yetter-Drinfel’d module categories for and use it to construct a braided -category . As an application, we give the concept of a Long dimodule category for a weak crossed Hopf group coalgebra with quasitriangular and coquasitriangular structures and obtain that is a braided -category by translating it into a weak Yetter-Drinfel'd module subcategory .