Pre-modular fusion categories of global dimension \(p^2\)

DOI10.1016/j.jalgebra.2023.03.002OpenAlexW4327571900MaRDI QIDQ2698474

Yanyan Li

Publication date: 24 April 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.04169

zbMATH Keywords

global dimensionpre-modular fusion categorymodular fusion category

Mathematics Subject Classification ID

Fusion categories, modular tensor categories, modular functors (18M20)

Cites Work

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• Cyclotomic integers, fusion categories, and subfactors
• Congruence property in conformal field theory
• On formal codegrees of fusion categories
• On braided fusion categories. I
• Die irreduziblen Darstellungen der Gruppen \(SL_2(Z_p)\), insbesondere \(SL_2(Z_2)\). I
• Die irreduziblen Darstellungen der Gruppen \(SL_2(Z_p)\), insbesondere \(SL_2(Z_2)\). II
• On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
• On the classification of modular fusion algebras
• Galois theory for braided tensor categories and the modular closure
• Non-pseudounitary fusion
• Modular categories with transitive Galois actions
• Pre-modular fusion categories of small global dimensions
• Norm, trace, and formal codegrees of fusion categories
• On fusion categories.
• The trace of totally positive and real algebraic integers
• FUSION ALGEBRAS INDUCED BY REPRESENTATIONS OF THE MODULAR GROUP
• Rank-finiteness for modular categories
• THE TRACE PROBLEM FOR TOTALLY POSITIVE ALGEBRAIC INTEGERS
• Lie theory for fusion categories: A research primer
• On Classification of Modular Categories by Rank: Table A.1
• Hecke Algebras with Unequal Parameters
• Remarks on global dimensions of fusion categories
• Tensor Categories

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