4 papers
Finite Pre-Tensor Categories that are Morita Equivalent to Finite Tensor Categories
Thibault D. Décoppet, Mateusz Stroiński
A finite pre-tensor category is a finite abelian category equipped with a right exact tensor product for which every projective object has duals. Finite tensor categories, for whic…
Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories
Thibault D. Décoppet
Fix a finite symmetric tensor category over an algebraically closed field. We derive an -enriched version of Shimizu's characterizations of non-degenerac…
Compact Semisimple Tensor 2-Categories are Morita Connected
Thibault D. Décoppet, Sean Sanford
In arXiv:2211.04917, it was shown that, over an algebraically closed field of characteristic zero, every fusion 2-category is Morita equivalent to a connected fusion 2-category, th…
Higher Verlinde Categories: The Mixed Case
Thibault D. Décoppet
Over a field of characteristic , the higher Verlinde categories are obtained by taking the abelian envelope of quotients of the category of tilting module…