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arXiv · 2103.16880

The 2-Deligne Tensor Product

Thibault D. Décoppet
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Abstract

We prove that the 2-Deligne tensor product of two compact semisimple 2-categories exists. Further, under suitable hypotheses, we explain how to describe the $Hom$-categories, connected components, and simple objects of a 2-Deligne tensor product. Finally, we prove that the 2-Deligne tensor product of two compact semisimple tensor 2-categories is a compact semisimple tensor 2-category.

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Thibault D. Décoppet. 2021-03-31. The 2-Deligne Tensor Product. https://doi.org/10.1215/21562261-2023-0005

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