Fusion algebras with negative structure constants.

DOI10.1016/j.jalgebra.2008.02.031zbMath1193.20005arXiv0704.2384OpenAlexW2964287487MaRDI QIDQ934063

Michael Cuntz

Publication date: 29 July 2008

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

Full work available at URL: https://arxiv.org/abs/0704.2384

zbMATH Keywords

charactersHadamard matricesfusion algebrasrepresentation ringsorthogonality relationstable algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Ordinary representations and characters (20C15) Vertex operators; vertex operator algebras and related structures (17B69) General commutative ring theory (13A99)

Related Items (3)

Reality-based algebras with a two-dimensional representation ⋮ Quotient structures, homomorphisms, and partial wreath products in reality-based algebras ⋮ Growth of structure constants of free Lie algebras relative to Hall bases

Cites Work

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• Fusion algebras for imprimitive complex reflection groups.
• Spetses
• Towards spetses. I
• Exotic Fourier transform
• Sylow theory for table algebras, fusion rule algebras, and hypergroups.
• The automorphisms of affine fusion rings.
• Fourier transforms and Frobenius eigenvalues for finite Coxeter groups.
• Unipotent degrees of imprimitive complex reflection groups
• Erratum: Quotient structures in \(C\)-algebras
• Generalized table algebras
• Finite group modular data

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