19 citations · 79 across the 30 of their papers we have counts for
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Relative Serre functor for comodule algebras
Kenichi Shimizu
Let be a finite tensor category, and let be an exact left -module category. The relative Serre functor of is an endofunctor $…
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…
Pivotal structures of the Drinfeld center of a finite tensor category
Kenichi Shimizu
We classify the pivotal structures of the Drinfeld center of a finite tensor category . As a consequence, every pivotal structure of $\mathc…
The relative modular object and Frobenius extensions of finite Hopf algebras
Kenichi Shimizu
For a certain kind of tensor functor , we define the relative modular object as the "difference" between a left adjoint and a…
On the linear independency of monoidal natural transformations
Kenichi Shimizu
Let be strong monoidal functors from a skeletally small monoidal category to a tensor category over an algebraically…