Hyperbolic reflection groups associated to the quadratic forms \(-3x_0^2+x_1^2+\cdots+x_n^2\). (Q540480)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolic reflection groups associated to the quadratic forms \(-3x_0^2+x_1^2+\cdots+x_n^2\). |
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Hyperbolic reflection groups associated to the quadratic forms \(-3x_0^2+x_1^2+\cdots+x_n^2\). (English)
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3 June 2011
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The author determines the maximal hyperbolic reflection groups associated to the quadratic forms \(-3x_0^2+x_1^2+\cdots+x_n^2\), \(n\geq 2\), and he presents the Coxeter schemes of their fundamental polyhedra. These groups exist in dimensions up to 13, but not in higher dimensions.
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hyperbolic reflection groups
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non-cocompact groups
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arithmetic groups
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reflective lattices
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arithmetic lattices
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Coxeter schemes
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fundamental polyhedra
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