Hyperbolic reflection groups associated to the quadratic forms $-3x_0^2+x_1^2+...+x_n^2$

Abstract

We determine the maximal hyperbolic reflection groups associated to the quadratic forms $-3x_0^2+x_1^2+...+x_n^2$, $n\ge 2$, and present the Coxeter schemes of their fundamental polyhedra. These groups exist in dimensions up to 13, and a proof is given that in higher dimensions these quadratic forms are not reflective.

16 pages, 7 figures

Cited by in corpus (1)

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