Characters of Crossed Modules and Premodular Categories

2005/12/23 by P. Bántay, Bantay, P. · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.math/0512542

openalex publication_date 2005/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Classical and quantum conformal field theory

Cited by

• The ribbon category of representations of a crossed module

Related

• The ribbon category of representations of a crossed module
• Modular categories are not determined by their modular data
• Making nontrivially associated modular categories from finite groups
• Module categories for finite group algebras
• Computational Modular Character Theory