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math.QA2021★ 7 cited
The 2-Deligne Tensor Product
Thibault D. Décoppet
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 -categories, conne…
math.QA2020★ 17 cited
Multifusion Categories and Finite Semisimple 2-Categories
Thibault D. Décoppet
We give a 3-universal property for the Karoubi envelope of a 2-category. Using this, we show that the 3-categories of finite semisimple 2-categories (as introduced in arXiv:1812.11…