Non-pseudounitary fusion

DOI10.1016/j.jpaa.2021.106927zbMath1482.18012arXiv2010.02958OpenAlexW3204912783MaRDI QIDQ2065617

Andrew Schopieray

Publication date: 12 January 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.02958

zbMATH Keywords

modular tensor categoriesfusion categoriesfusion ringspseudounitary

Mathematics Subject Classification ID

Monoidal categories, symmetric monoidal categories (18M05) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (4)

Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six ⋮ Categorification of integral group rings extended by one dimension ⋮ Reconstruction of modular data from \(\mathrm{SL}_2(\mathbb{Z})\) representations ⋮ Pre-modular fusion categories of global dimension \(p^2\)

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Congruence property in conformal field theory
• Unitarizability of premodular categories
• On formal codegrees of fusion categories
• On braided fusion categories. I
• On classification of modular tensor categories
• Fusion categories of rank 2
• Nilpotent fusion categories
• On fusion categories.
• Rank-finiteness for modular categories
• Lie theory for fusion categories: A research primer
• Conformal field theory, tensor categories and operator algebras
• On the Structure of Modular Categories
• On Classification of Modular Categories by Rank: Table A.1
• Remarks on global dimensions of fusion categories
• Tensor Categories

This page was built for publication: Non-pseudounitary fusion