Fusion algebras for imprimitive complex reflection groups.

DOI10.1016/j.jalgebra.2006.10.027zbMath1163.20026arXivmath/0610842OpenAlexW1982468217MaRDI QIDQ877707

Michael Cuntz

Publication date: 3 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0610842

zbMATH Keywords

complex reflection groupsrepresentations of finite groupsFourier matricestable algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (6)

Reality-based algebras with a two-dimensional representation ⋮ An asymptotic cell category for cyclic groups ⋮ Quotient structures, homomorphisms, and partial wreath products in reality-based algebras ⋮ Drinfeld double of quantum groups, tilting modules, and \(\mathbb{Z}\)-modular data associated to complex reflection groups ⋮ Fusion algebras with negative structure constants. ⋮ Fourier matrices for \(G(d,1,n)\) from quantum general linear groups

Cites Work

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• 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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