Year: 2024
Type: preprint
Abstract: We define the notion of the $(G,Γ)$-crossed center of a $(G,Γ)$-crossed tensor category in the sense of Natale. We show that the $(G, Γ)$-crossed center is a $(G \bowtie Γ, G \times Γ)$-braided tensor category. This construction generalizes the graded center construction for graded tensor categories and the equivariant center construction for tensor categories with group actions.
Source: arXiv (Cornell University)
Author: Oikawa, Mizuki
Institution: The University of Tokyo
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394868339