Showing 2026Show all
3 papers · 1 filter
math.CT2026
Diagrammatics for lax and Frobenius monoidal functors and weak morphism classifiers
Alexis Langlois-Rémillard, Mateusz Stroiński
The theory of 2-monads entails that, for a strict monoidal category C, there is a strict monoidal category L(C) such that strict monoidal functors from L(C) are precisely the lax m…
math.QA2026
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…
math.RT2026
Algebras in fusion categories: species and hereditary algebras
Edmund Heng, Mateusz Stroiński
We initiate the study of non-semisimple algebras in fusion categories by establishing the framework of -species -- analogous to the framework of species and quivers us…