On Unimodular Finite Tensor Categories
On Unimodular Finite Tensor Categories
Let C be a finite tensor category with simple unit object, let Z(C) denote its monoidal center, and let L and R be a left adjoint and a right adjoint of the forgetful functor U:Z(C)→C. We show that the following conditions are equivalent: (1) C is unimodular, (2) U is …