Fusion bialgebras and Fourier analysis. Analytic obstructions for unitary categorification
From MaRDI portal
Publication:822702
DOI10.1016/j.aim.2021.107905zbMath1484.46079OpenAlexW3194367698MaRDI QIDQ822702
Jinsong Wu, Zhengwei Liu, Sebastien Palcoux
Publication date: 23 September 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2021.107905
Abstract harmonic analysis (43A99) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Bialgebras (16T10) Fusion categories, modular tensor categories, modular functors (18M20)
Related Items
Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six ⋮ Galois correspondence and Fourier analysis on local discrete subfactors ⋮ Quantum Fourier analysis ⋮ On low rank fusion rings ⋮ Interpolated family of non-group-like simple integral fusion rings of Lie type ⋮ On the Grothendieck ring of fusion categories of rank 5 ⋮ On odd-dimensional modular tensor categories
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weakly group-theoretical and solvable fusion categories
- Non-commutative Rényi entropic uncertainty principles
- Noncommutative uncertainty principles
- Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
- Module categories, weak Hopf algebras and modular invariants
- Fusion categories of rank 2
- Quon language: surface algebras and Fourier duality
- Index for subfactors
- From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
- From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
- Singly generated planar algebras of small dimension. II.
- Singly generated planar algebras of small dimension.
- Block maps and Fourier analysis
- Universal skein theory for group actions
- Ore's theorem on cyclic subfactor planar algebras and beyond
- On fusion categories.
- Certain arithmetic properties of ring groups
- Exchange relation planar algebras of small rank
- Singly generated planar algebras of small dimension, Part III
- Lifting shadings on symmetrically self-dual subfactor planar algebras
- Semisolvability of semisimple Hopf algebras of low dimension
- Tensor Categories