Yetter–Drinfel'd Modules for Group-Cograded Multiplier Hopf Algebras
Yetter–Drinfel'd Modules for Group-Cograded Multiplier Hopf Algebras
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DOI：
10.1080/00927870802108080
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发表时间：
2008-08
影响因子：
0.7
通讯作者：
L. Delvaux
中科院分区：
文献类型：
--
作者：
L. Delvaux
我们给出了一个代表性理论和范畴的解释Drinfel'd双成组cograded乘子Hopf代数的框架。由Zunino为有限型Hopf群余代数构造的Drinfel'd double是这种构造的一个例子，因为群余分次乘子Hopf代数的组成部分是有单位元和有限维代数，并且容许作用与群在自身上的伴随作用有关。
We give a representation-theoretic and a categorical interpretation of the Drinfel'd double into the framework of group-cograded multiplier Hopf algebras. The Drinfel'd double as constructed by Zunino for a finite-type Hopf group-coalgebra is an example of this construction in the sense that the components of the group-cograded multiplier Hopf algebras are unital and finite-dimensional algebras and the admissible action is related with the adjoint action of the group on itself.