19 citations · 79 across the 30 of their papers we have counts for
4 papers · 1 filter
Recent developments of the categorical Verlinde formula
Kenichi Shimizu
I review recent developments of "non-semisimple" modular tensor categories in the sense of Lyubashenko and the categorical Verlinde formula for such categories (this is a proceedin…
Ribbon structures of the Drinfeld center of a finite tensor category
Kenichi Shimizu
We classify the ribbon structures of the Drinfeld center of a finite tensor category . Our result generalizes Kauffman and Radford's classif…
Quiver-theoretical approach to dynamical Yang-Baxter maps
Diogo Kendy Matsumoto, Kenichi Shimizu
A dynamical Yang-Baxter map, introduced by Shibukawa, is a solution of the set-theoretical analogue of the dynamical Yang-Baxter equation. In this paper, we initiate a quiver-theor…
Integrals for finite tensor categories
Kenichi Shimizu
We introduce the notions of categorical integrals and categorical cointegrals of a finite tensor category by using a certain adjunction between and its…