Integral modular data and congruences.

DOI10.1007/s10801-008-0139-yzbMath1263.20012arXivmath/0611233OpenAlexW2077154293MaRDI QIDQ1016571

Michael Cuntz

Publication date: 6 May 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611233

zbMATH Keywords

modular groupfusion algebrasFourier matricesmodular dataquantum doubles of finite groups

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of group representations to physics and other areas of science (20C35)

Related Items

Unnamed Item ⋮ Unnamed Item ⋮ Orders of torsion units of integral reality-based algebras with rational multiplicities ⋮ Modular categories, integrality and Egyptian fractions ⋮ Classification of Homogeneous Fourier Matrices ⋮ On classification of modular tensor categories

Uses Software

• CHEVIE
• OEIS

Cites Work

• The operator algebra of orbifold models
• Spetses
• Exotic Fourier transform
• The automorphisms of affine fusion rings.
• Fourier transforms and Frobenius eigenvalues for finite Coxeter groups.
• Unipotent degrees of imprimitive complex reflection groups
• CHEVIE -- A system for computing and processing generic character tables
• Modular data: the algebraic combinatorics of conformal field theory
• Finite Unitary Reflection Groups
• Finite group modular data
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• Unnamed Item