Fusion bialgebras and Fourier analysis. Analytic obstructions for unitary categorification
type: Item
instance of: scholarly article
title: Fusion bialgebras and Fourier analysis. Analytic obstructions for unitary categorification
zbMATH Open document ID: 1484.46079
author: Zhengwei Liu
author: Sebastien Palcoux
author: Jinsong Wu
published in: Advances in Mathematics
publication date: 2021-09-23T00:00:00Z
Mathematics Subject Classification ID: 46L89
Mathematics Subject Classification ID: 18M20
Mathematics Subject Classification ID: 16T10
Mathematics Subject Classification ID: 43A99
zbMATH DE Number: 7399496
zbMATH Keywords: quantum Fourier analysis
zbMATH Keywords: subfactors
zbMATH Keywords: planar algebras
zbMATH Keywords: fusion rings
zbMATH Keywords: unitary categorification
describes a project that uses: SageMath
MaRDI profile type: Publication
full work available at URL: j.aim.2021.107905
OpenAlex ID: W3194367698
cites work: Singly generated planar algebras of small dimension.
cites work: Singly generated planar algebras of small dimension. II.
cites work: Singly generated planar algebras of small dimension, Part III
cites work: Tensor Categories
cites work: Q4658947
cites work: Q4853469
cites work: On fusion categories.
cites work: Weakly group-theoretical and solvable fusion categories
cites work: Block maps and Fourier analysis
cites work: Noncommutative uncertainty principles
cites work: Index for subfactors
cites work: Planar algebras. I
cites work: Certain arithmetic properties of ring groups
cites work: Q5250139
cites work: Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
cites work: Exchange relation planar algebras of small rank
cites work: Quon language: surface algebras and Fourier duality
cites work: Lifting shadings on symmetrically self-dual subfactor planar algebras
cites work: Non-commutative Rényi entropic uncertainty principles
cites work: Q3804915
cites work: From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
cites work: From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
cites work: Semisolvability of semisimple Hopf algebras of low dimension
cites work: Fusion categories of rank 2
cites work: Module categories, weak Hopf algebras and modular invariants
cites work: Pivotal fusion categories of rank 3
cites work: Ore's theorem on cyclic subfactor planar algebras and beyond
cites work: Universal skein theory for group actions
DOI: 10.1016/J.AIM.2021.107905
description: scientific article; zbMATH DE number 7399496