Characters of Crossed Modules and Premodular Categories

Abstract

A general procedure is presented which associates to a finite crossed module a premodular category, generalizing the representation categories of a finite group and of its double, and the extent to which the resulting category fails to be modular is explained.

References in corpus (1)

• Vertex operator algebras, the Verlinde conjecture and modular tensor categories

Cited by in corpus (5)

• Fusion subcategories of representation categories of twisted quantum doubles of finite groups
• Equivariant Modular Categories via Dijkgraaf-Witten Theory
• Categorical Center of Higher Genera and 4D Factorization Homology
• Crossed pointed categories and their equivariantizations
• Modular categories from finite crossed modules