Discrete Coxeter groups (Q6610773)

This survey article summarizes various topics and results related to Coxeter groups arising as discrete subgroups of Lie groups.\N\NThe first class of Lie groups examined are isometry groups of hyperbolic spaces. The authors discuss hyperbolic polytopes as well as Lannér and quasi-Lannér Coxeter groups.\N\NThe second large class of Lie groups studied are isometry groups of projective real spaces. Here, they give an overview of Anosov reflection groups and cocompact group actions.\N\NThe authors conclude with a review of Coxeter and other groups acting cocompactly on the affine real spaces.\N\NFor the entire collection see [Zbl 1537.51001].