The isotropy groups of bounded homogeneous domains are nontrivial (Q1294058)
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scientific article; zbMATH DE number 1310844
| Language | Label | Description | Also known as |
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| English | The isotropy groups of bounded homogeneous domains are nontrivial |
scientific article; zbMATH DE number 1310844 |
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The isotropy groups of bounded homogeneous domains are nontrivial (English)
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4 May 2000
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The author answers the following question: Does there exist a bounded homogeneous domain \(M\) such that \(\Aut(M)\) acts freely on \(M\)? The answer is no. The proof is a simple consequence of the following well known results (1) bounded homogeneous domains are Siegel domains of second type over regular homogeneous cones; (Pijateckii-Shapiro, Gindikin and Vinberg) (2) inductive description of homogeneous regular cones by Rothaus.
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isotropy groups
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bounded homogeneous domain
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