⊗-Frobenius functors and exact module categories

Abstract: Frobenius algebras are structures relevant in multiple disciplines such as subfactor theory, conformal field theory or topological field theory. The purpose of the talk is to present results based on arxiv:2501.16978 about preservation and construction of Frobenius algebras. We introduce the notion of ⊗-Frobenius functors and provide characterizations relating them with the other Frobenius-type functors. These are used to twist module categories. Results on sufficient conditions for the preservation of certain properties under twisting and preservation of Frobenius algebras are summarized.

Mathematics

Audience: researchers in the topic

European Quantum Algebra Lectures (EQuAL)

Series comments: EQuAL is an online seminar series on quantum algebra and related topics such as topological and conformal field theory, operator algebra, representation theory, quantum topology, etc. sites.google.com/view/equalseminar/home