论文标题

分类内态戒指的中心

Centers of categorified endomorphism rings

论文作者

Chirvasitu, Alexandru

论文摘要

我们证明,对于一大批行为良好的cococtlete类别$ \ MATHCAL C $ $ \ MATHCAL {C} $ COCONTOUNCONCONTORS的MONOIDAL类别的弱和强的Drinfeld中心$ \ MATHCAL {E} $ COCIDE。这在文献中概括了类似的结果,其中$ \ MATHCAL {C} $是环$ A $上的模块的类别,因此$ \ Mathcal {e} $是$ a $ bimodules的类别。

We prove that for a large class of well-behaved cocomplete categories $\mathcal C$ the weak and strong Drinfeld centers of the monoidal category $\mathcal{E}$ of cocontinuous endofunctors of $\mathcal{C}$ coincide. This generalizes similar results in the literature, where $\mathcal{C}$ is the category of modules over a ring $A$ and hence $\mathcal{E}$ is the category of $A$-bimodules.

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