Discrete Coxeter Groups

Gye-Seon Lee () and Ludovic Marquis ()
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Gye-Seon Lee: Seoul National University, Department of Mathematical Sciences and Research Institute of Mathematics
Ludovic Marquis: Université Rennes

Chapter Chapter 11 in Surveys in Geometry II, 2024, pp 337-359 from Springer

Abstract: Abstract Coxeter groups are a special class of groups generated by involutions. They play important roles in the various areas of mathematics. This survey particularly focuses on how one uses Coxeter groups to construct interesting examples of discrete subgroups of Lie groups.

Keywords: Coxeter groups; Discrete subgroups of Lie groups; Reflection groups; Convex cocompact subgroups; Anosov representations; 20F55; 51F15 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/978-3-031-43510-2_11

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