Root Systems for Asymmetric Geometric Representations of Coxeter Groups

DOI10.1080/00927871003662958zbMath1241.20043arXiv0707.3310OpenAlexW2103271923MaRDI QIDQ2995338

Donnelly, Robert G.

Publication date: 20 April 2011

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

Full work available at URL: https://arxiv.org/abs/0707.3310

zbMATH Keywords

Coxeter groupsKac-Moody algebrasroot systemsTits conesgeometric representationsnumbers gamemultiples of roots

Mathematics Subject Classification ID

Related Items (1)

Reflection representations of Coxeter groups and homology of Coxeter graphs

Cites Work

• Conjugacy of 2-spherical subgroups of Coxeter groups and parallel walls.
• Eriksson's numbers game and finite Coxeter groups
• The conjugacy problem for Coxeter groups.
• A finiteness property and an automatic structure for Coxeter groups
• On outer automorphism groups of Coxeter groups
• Computation in Coxeter groups. I: Multiplication
• Reflection processes on graphs and Weyl groups
• Discrete groups generated by reflections
• Kac-Moody groups, their flag varieties and representation theory
• The numbers game and Coxeter groups
• Combinatorics of Coxeter Groups
• On the root system of a coxeter group
• DISCRETE LINEAR GROUPS GENERATED BY REFLECTIONS
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