Induced functors on Drinfeld centers

Abstract: I will explain how the right/left adjoint of a monoidal functor induced a braided lax/oplax monoidal functors between the corresponding Drinfeld centers. This requires some mild technical assumptions, namely that the projection formulas hold for the adjoint functor. This holds, for example, when the monoidal categories are rigid. As the induced functors on the Drinfeld centers are (op)lax and compatible with braiding, they preserve commutative (co)algebra objects. As classes of examples, we consider monoidal restriction functors along extensions of Hopf algebras leading to (co)induction functors on Yetter-Drinfeld module categories. This is joint work in progress with Johannes Flake (Bonn) and Sebastian Posur (Münster).

category theoryquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.