Center construction for group-crossed tensor categories
Abstract
We define the notion of the (G,)-crossed center of a (G,)-crossed tensor category in the sense of Natale. We show that the (G, )-crossed center is a (G , G × )-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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.