Crossed \(S\)-matrices and Fourier matrices for Coxeter groups with automorphism

DOI10.1016/J.JALGEBRA.2019.10.013zbMath1440.18035arXiv1902.07021OpenAlexW2916672731WikidataQ127013894 ScholiaQ127013894MaRDI QIDQ2182363

Abel Lacabanne

Publication date: 23 May 2020

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

Full work available at URL: https://arxiv.org/abs/1902.07021

zbMATH Keywords

modular invariantsbraided categoriescategorificationSuzuki and Ree groupsFourier matrices for twisted Coxeter groups

Mathematics Subject Classification ID

Quantum groups (quantized function algebras) and their representations (20G42) Braided monoidal categories and ribbon categories (18M15)

Uses Software

• CHEVIE

Cites Work

• Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
• Towards spetses. I
• Exotic Fourier transform
• Fourier transforms and Frobenius eigenvalues for finite Coxeter groups.
• Galois extensions of braided tensor categories and braided crossed G-categories
• Unipotent degrees of imprimitive complex reflection groups
• CHEVIE -- A system for computing and processing generic character tables
• An equivalence of fusion categories
• Premodular categories, modularisations and invariants of 3-manifolds
• An asymptotic cell category for cyclic groups
• The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.
• Spin modular categories
• Modular Categories, Crossed S-matrices, and Shintani Descent
• Tensor Categories
• Split Spetses for primitive reflection groups
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