Hom-quasi-bialgebras

Hom-quasi-bialgebras
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DOI:
10.1090/conm/585/11617
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发表时间:
2012-09
期刊:
arXiv: Rings and Algebras
影响因子:
--
通讯作者:
M. Elhamdadi;A. Makhlouf
M. Elhamdadi;A. Makhlouf
中科院分区:
其他
文献类型:
--
作者:
M. Elhamdadi;A. Makhlouf

文献摘要

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本文的目的是给出Hom-双代数的一般性综述,并将拟双代数的概念推广到Hom-集上. Hom-双代数是一种双代数型结构,其中恒等式被态射扭曲.我们给出了一些关键的构造,并将规范变换和Drinfeld的twists的概念推广到这类广义拟双代数。此外,我们还提供了一个扭曲量子双的例子。
The purpose of this paper is to give a general survey of Hom- bialgebras, which are bialgebra-type structures where the identities are twisted by a morphism, and to extend the concept of quasi-bialgebra to Hom-setting. We provide some key constructions and generalize the concept of gauge trans- formation and Drinfeld's twists to this type of generalized quasi-bialgebras. Moreover, we provide an example of twisted quantum double.