论文标题

色带Yetter- drinfeld模块和纠缠不变

Ribbon Yetter--Drinfeld modules and tangle invariants

论文作者

Habiro, Kazuo, Kotorii, Yuka

论文摘要

我们在单体类别中定义了关键和色带对象的概念。这些构造给出了来自单素类别的关键或色带单体类别,这不一定与双重相关。我们将此构造应用于Yetter的编织单体类别-Drinfeld模块上的Hopf代数模块。这引起了色带Yetter的概念 - 构成色带类别的Hopf代数上的Drinfeld模块。这给出了缠结的不变。

We define notions of pivotal and ribbon objects in a monoidal category. These constructions give pivotal or ribbon monoidal categories from a monoidal category which is not necessarily with duals. We apply this construction to the braided monoidal category of Yetter--Drinfeld modules over a Hopf algebra. This gives rise to the notion of ribbon Yetter--Drinfeld modules over a Hopf algebra, which form ribbon categories. This gives an invariant of tangles.

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