Categorification of integral group rings extended by one dimension

DOI10.1112/jlms.12789zbMath1525.18023arXiv2208.07319OpenAlexW4385202889MaRDI QIDQ6085084

Andrew Schopieray

Publication date: 2 December 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.07319

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Fusion categories, modular tensor categories, modular functors (18M20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudo-unitary non-self-dual fusion categories of rank 4
• The exoticness and realisability of twisted Haagerup--Izumi modular data
• Frobenius-Schur indicators and exponents of spherical categories.
• Congruence property in conformal field theory
• On formal codegrees of fusion categories
• Table algebras
• Semi-extraspezielle p-Gruppen
• Tensor categories with fusion rules of self-duality for finite abelian groups
• Near-group categories
• Fusion categories of rank 2
• The structure of sectors associated with Longo-Rehren inclusions. I: General theory
• The classification of \(3^n\) subfactors and related fusion categories
• From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
• On fusion categories with few irreducible degrees.
• Non-pseudounitary fusion
• Structure, examples and classification for generalized near-group fusion categories
• Infinite families of potential modular data related to quadratic categories
• Frobenius-Schur indicators for near-group and Haagerup-Izumi fusion categories
• Near-group fusion categories and their doubles
• On fusion categories.
• Rank-finiteness for modular categories
• THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
• A Cuntz algebra approach to the classification of near-group categories
• Tensor Categories
• On low rank fusion rings

This page was built for publication: Categorification of integral group rings extended by one dimension