Rank-finiteness for modular categories

DOI10.1090/jams/842zbMath1344.18008arXiv1310.7050OpenAlexW3099475321MaRDI QIDQ2802073

Zhenghan Wang, Siu-Hung Ng, Eric C. Rowell, Paul Bruillard

Publication date: 25 April 2016

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7050

zbMATH Keywords

Frobenius-Schur indicatorCauchy theoremmodular categories

Mathematics Subject Classification ID

Related Items (37)

Classification of \(\mathfrak{sl}_3\) relations in the Witt group of nondegenerate braided fusion categories ⋮ The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ Modular categories are not determined by their modular data ⋮ Classification of metaplectic modular categories ⋮ Modular categories of dimension $p^3m$ with $m$ square-free ⋮ Galois conjugation and multiboundary entanglement entropy ⋮ Bantay's trace in unitary modular tensor categories ⋮ Gauge invariants from the powers of antipodes ⋮ Higher central charges and Witt groups ⋮ Modular data for the extended Haagerup subfactor ⋮ Classification of super-modular categories by rank ⋮ On invariants of modular categories beyond modular data ⋮ Categorification of integral group rings extended by one dimension ⋮ Reconstruction of modular data from \(\mathrm{SL}_2(\mathbb{Z})\) representations ⋮ Fibonacci-type orbifold data in Ising modular categories ⋮ Subfactors from graphs induced by association schemes ⋮ Pre-modular fusion categories of global dimension \(p^2\) ⋮ On classification of extremal non-holomorphic conformal field theories ⋮ Norm, trace, and formal codegrees of fusion categories ⋮ Metaplectic categories, gauging and property \(F\) ⋮ On generalized symmetries and structure of modular categories ⋮ Dimension as a quantum statistic and the classification of metaplectic categories ⋮ Rank-finiteness for \(G\)-crossed braided fusion categories ⋮ Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries ⋮ Congruence subgroups and super-modular categories ⋮ On metaplectic modular categories and their applications ⋮ On gauging symmetry of modular categories ⋮ Eigenvalues of rotations and braids in spherical fusion categories ⋮ Braided zesting and its applications ⋮ Mathematics of topological quantum computing ⋮ Non-pseudounitary fusion ⋮ On classification of super-modular categories of rank 8 ⋮ Higher Gauss sums of modular categories ⋮ Galois orbits of TQFTs: symmetries and unitarity ⋮ THE CASIMIR NUMBER AND THE DETERMINANT OF A FUSION CATEGORY ⋮ Classification of rank 5 premodular categories ⋮ Modular categories with transitive Galois actions

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