Modular categories with transitive Galois actions

DOI10.1007/s00220-021-04287-5zbMath1483.18021arXiv2007.01366OpenAlexW4206621916MaRDI QIDQ2113506

Publication date: 14 March 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01366

Mathematics Subject Classification ID

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

Related Items (3)

Reconstruction of modular data from $\mathrm{SL}_2(\mathbb{Z})$ representations ⋮ Pre-modular fusion categories of global dimension $p^2$ ⋮ On symmetric representations of 𝑆𝐿₂(ℤ)

Cites Work

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Quantum groups, quantum categories and quantum field theory
Congruence subgroups and generalized Frobenius-Schur indicators
Frobenius-Schur indicators and exponents of spherical categories.
Congruence property in conformal field theory
On the classification of weakly integral modular categories
On braided fusion categories. I
On classification of modular tensor categories
Hecke algebra representations of braid groups and link polynomials
Markov traces and II$_ 1$ factors in conformal field theory
Tensor products of quantized tilting modules
Three-manifold invariants derived from the Kauffman bracket
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
Quantum $SU(2)$ faithfully detects mapping class groups modulo center
On a $q$-analogue of the McKay correspondence and the ADE classification of $\mathfrak{sl}_{2}$ conformal field theories
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
Fusion categories arising from semisimple Lie algebras
On the classification of modular fusion algebras
Topological quantum field theories derived from the Kauffman bracket
On the structure of the Witt group of braided fusion categories
Premodular categories, modularisations and invariants of 3-manifolds
Invariants of 3-manifolds via link polynomials and quantum groups
Higher Gauss sums of modular categories
Nilpotent fusion categories
On fusion categories.
FUSION ALGEBRAS INDUCED BY REPRESENTATIONS OF THE MODULAR GROUP
Rank-finiteness for modular categories
Classification of Integral Modular Categories of Frobenius–Perron Dimension pq⁴ and p²q²
Fermionic modular categories and the 16-fold way
QUANTUM INVARIANTS OF 3-MANIFOLDS ASSOCIATED WITH CLASSICAL SIMPLE LIE ALGEBRAS
On the Structure of Modular Categories
Modular categories of dimension $p^3m$ with $m$ square-free
On Classification of Modular Categories by Rank: Table A.1
The Witt group of non-degenerate braided fusion categories
On classification of super-modular categories of rank 8
Classification of Spherical Fusion Categories of Frobenius–Schur Exponent 2
Mathematics of topological quantum computing
Tensor Categories
Modular categories, integrality and Egyptian fractions
Quantum invariants of knots and 3-manifolds

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