Frobenius reciprocity for fiat 2-categories

Abstract: Frobenius reciprocity is a famous property first observed in the setting of group representations. Representations of 2-categories is a lively and relatively young field, where many classic results of representation theory reappear: the Jordan-Hölder theorem (Mackaay, Mazorchuk, Miemietz, Tubbenhauer and Zhang, Finitary birepresentations of fintary bicategories), various properties from Morita theory (Mazorchuk and Miemietz, Morita theory for finitary 2-categories), etc. In this talk, we consider Frobenius reciprocity in the context of 2-categories.

category theoryrepresentation theory

Audience: researchers in the topic

ANTLR seminar

Series comments: This is the Algebra, Number Theory, Logic and Representation theory seminar.