On the group of isometries of an affine homogeneous convex domain (Q792642)
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scientific article; zbMATH DE number 3853939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the group of isometries of an affine homogeneous convex domain |
scientific article; zbMATH DE number 3853939 |
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On the group of isometries of an affine homogeneous convex domain (English)
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1984
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In this paper the following result is proven: If a homogeneous convex domain \(\Omega\) is irreducible and not affinely equivalent to an elementary domain, then the Lie algebra \(g(\Omega)\) of the affine automorphism group \(G(\Omega)\) is identical with the Lie algebra \(i(\Omega)\) of the isometry group \(I(\Omega)\) of the canonical Riemannian metric on \(\Omega\).
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homogeneous convex domain
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affine automorphism group
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isometry group
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