Euclidean simplices generating discrete reflection groups

Abstract

Let $P$ be a convex polytope in the Euclidean space $\E^n$. Consider the group $G_P$ generated by reflections in the facets of $P$. We say that $P$ {\it generates a reflection group $G_P$}. In the present paper, we list all Euclidean simplices generating discrete reflection groups.

20 pages; MPIM preprint

References in corpus (3)

• Coxeter Decompositions of Hyperbolic Tetrahedra
• Reflection subgroups of Euclidean reflection groups
• Coxeter decompositions of hyperbolic simplices

Cited by in corpus (2)

• Partial fraction decompositions and an algorithm for computing the vector partition function
• Automorphism groups of root systems matroids