Category-valued traces for bimodule categories: a representation-theoretic realization

Autor: Koppen, Vincent
Rok vydání: 2018
Předmět:
Zdroj: Comm. Algebra 47 (2019), no. 5, 2049-2059
Druh dokumentu: Working Paper
Popis: The category-valued trace assigns to a bimodule category over a linear monoidal category a linear category. It generalizes Drinfeld centers of monoidal categories and the relative Deligne product of bimodule categories. In this article, we study bimodule categories that are given as categories of bicomodules over a Hopf algebra. Our main result is a representation-theoretic realization of the category-valued trace as a category of generalized Hopf bimodules.
Comment: 13 pages
Databáze: arXiv