21 citations · 79 across the 11 of their papers we have counts for
4 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…
The Morita Theory of Fusion 2-Categories
Thibault D. Décoppet
We develop the Morita theory of fusion 2-categories. In order to do so, we begin by proving that the relative tensor product of modules over a separable algebra in a fusion 2-categ…
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…