3 papers
math.QA2026
Finite Pre-Tensor Categories that are Morita Equivalent to Finite Tensor Categories
Thibault D. Décoppet, Mateusz StroiÅski
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…
math.QA2025
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…
math.QA2025
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…