Standard position for objects in hyperbolic space (Q1581011)
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scientific article; zbMATH DE number 1508000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Standard position for objects in hyperbolic space |
scientific article; zbMATH DE number 1508000 |
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Standard position for objects in hyperbolic space (English)
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14 September 2000
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It is shown that, by applying hyperbolic isometries, one may arrange \(n\) points in hyperbolic \((n-1)\)-space in certain standard position. Similar results are developed for complex hyperbolic space, as well as hyperbolic spaces defined over nearly arbitrary fields. The algebraic basis of the paper is the determination of the structure of a double coset space, which occurs in representation theory.
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hyperbolic geometry
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standard position
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double coset space
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