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

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