We provide an analog of the Drinfeld quantum double construction in the context of crossed Hopf group coalgebras introduced by Turaev. We prove that, provided the base group is finite, the double of a semisimple crossed Hopf group coalgebra is both modular and unimodular. (C) 2004 Elsevier Inc. All rights reserved.
机构:
Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Peoples R ChinaHenan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Peoples R China
Ma , Tianshui
Li , Haiying
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Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Peoples R ChinaHenan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Peoples R China
Li , Haiying
Xu , Shaoxian
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Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R ChinaHenan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Peoples R China
机构:
Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R ChinaQufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
Wang, Ding-Guo
Wang, Xing
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Jining Univ, Sch Math & Comp Applicat Technol, Qufu 273155, Shandong, Peoples R ChinaQufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China