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math.RT2025
Hochschild cohomology for finitary 2-representations
James Macpherson, Vanessa Miemietz, Mateusz Stroiński
In this article, we define and investigate Hochschild cohomology for finitary 2-representations of quasi-fiat 2-categories.
math.RT2025
A Coboundary Temperely-Lieb Category for -Crystals
Moaaz Alqady, Mateusz Stroiński
By considering a suitable renormalization of the Temperley--Lieb category, we study its specialization to the case . Unlike the case, the obtained monoidal category,…
math.RT2025
Simple algebras and exact module categories
Kevin Coulembier, Mateusz Stroiński, Tony Zorman
We verify a conjecture of Etingof and Ostrik, stating that an algebra object in a finite tensor category is exact if and only if it is a finite direct product of simple algebras. T…