Euclidean simplices generating discrete reflection groups

preprint2005arXivOpen access

Abstract

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

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