Reflection representations of Coxeter groups and homology of Coxeter graphs

DOI10.1007/s10468-023-10242-warXiv2306.12846OpenAlexW4389441843MaRDI QIDQ6151749

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Publication date: 11 March 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.12846

zbMATH Keywords

Coxeter groupreflection representationshomology of graphsgeneralized geometric representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• Weighted Coxeter graphs and generalized geometric representations of Coxeter groups
• The conjugacy problem for Coxeter groups.
• Representations of Coxeter groups and Hecke algebras
• Discrete groups generated by reflections
• Subregular \(J\)-rings of Coxeter systems via quiver path algebras
• Systèmes de racines sur un anneau commutatif totalement ordonné. (Root systems over a totally ordered commutative ring)
• Root Systems for Asymmetric Geometric Representations of Coxeter Groups
• Combinatorics of Coxeter Groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• Topological Crystallography
• DISCRETE LINEAR GROUPS GENERATED BY REFLECTIONS

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