A curious identity and the volume of the root spherical simplex. With an appendix by John R. Stembridge. (Q997583)
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scientific article; zbMATH DE number 5177506
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A curious identity and the volume of the root spherical simplex. With an appendix by John R. Stembridge. |
scientific article; zbMATH DE number 5177506 |
Statements
A curious identity and the volume of the root spherical simplex. With an appendix by John R. Stembridge. (English)
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7 August 2007
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Summary: We show a curious identity on root systems which gives the evaluation of the volume of the spherical simplices cut by the cone generated by simple roots. In the appendix, John Stembridge gives a conceptual proof of our identity.
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affine Weyl groups
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simple root systems
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crystallographic root systems
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simple reflections
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Coxeter generators
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0.8123545
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0.7941143
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