Double construction for crossed Hopf coalgebras

Double construction for crossed Hopf coalgebras
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DOI:
10.1016/j.jalgebra.2004.03.019
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发表时间:
2002-12
期刊:
影响因子:
0.9
通讯作者:
Marcos Zunino
Marcos Zunino
中科院分区:
数学3区
文献类型:
--
作者:
Marcos Zunino

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在Turaev引入的交叉Hopf群余代数的背景下,我们提供了Drinfeld量子双重结构的模拟。证明了如果基群是有限的,则半单交叉Hopf群余代数的对偶既是模的,又是么模的。
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.