Discrete Coxeter Groups

Gye-Seon Lee (1) , Ludovic Marquis (2)

1 SKKU - Sungkyunkwan University [Suwon]
2 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Mots clés: 2010 Mathematics Subject Classification. 22E40; 51F15; 57S30 Coxeter groups; discrete subgroups of Lie groups; reflection groups; convex cocompact subgroups; Anosov representations

Domaines: Topologie géométrique [math.GT]

Gye-Seon Lee, Ludovic Marquis. Discrete Coxeter Groups. 2022. ⟨hal-03345221v2⟩