21 citations · 79 across the 11 of their papers we have counts for
6 papers · 1 filter
Drinfeld Centers and Morita Equivalence Classes of Fusion 2-Categories
Thibault D. Décoppet
We prove that the Drinfeld center of a fusion 2-category is invariant under Morita equivalence. We go on to show that the concept of Morita equivalence between connected fusion 2-c…
Rigid and Separable Algebras in Fusion 2-Categories
Thibault D. Décoppet
Rigid monoidal 1-categories are ubiquitous throughout quantum algebra and low-dimensional topology. We study a generalization of this notion, namely rigid algebras in an arbitrary…
The Relative Deligne Tensor Product over Pointed Braided Fusion Categories
Thibault D. Décoppet
We give a formula for the relative Deligne tensor product of two indecomposable finite semisimple module categories over a pointed braided fusion category over an algebraically clo…
Compact Semisimple 2-Categories
Thibault D. Décoppet
Working over an arbitrary field, we define compact semisimple 2-categories, and show that every compact semisimple 2-category is equivalent to the 2-category of separable module 1-…
Finite Semisimple Module 2-Categories
Thibault D. Décoppet
Let be a multifusion 2-category. We show that every finite semisimple -module 2-category is canonically enriched over . Using this enrich…
Weak Fusion 2-Categories
Thibault D. Décoppet
We introduce a weakening of the notion of fusion 2-category given in arXiv:1812.11933. Then, we establish a number of properties of (multi)fusion 2-categories. Finally, we describe…