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arXiv · 2009.09195

Centers of categorified endomorphism rings

Alexandru Chirvasitu
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Abstract

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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Alexandru Chirvasitu. 2020-09-19. Centers of categorified endomorphism rings. https://doi.org/10.1007/s10468-022-10119-4

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