Fusion bialgebras and Fourier analysis. Analytic obstructions for unitary categorification

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

zbMATH Keywords

subfactorsplanar algebrasfusion ringsquantum Fourier analysisunitary categorification

Mathematics Subject Classification ID

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

• SageMath

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