The equivariant volumes of the permutahedron (Q5925524)
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scientific article; zbMATH DE number 7335401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The equivariant volumes of the permutahedron |
scientific article; zbMATH DE number 7335401 |
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The equivariant volumes of the permutahedron (English)
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20 April 2021
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The authors show, by means of several additional statements, some of which of interest on their own, that a permutation of \(n\) numbers with \(m\) cycles of given lengths fixes by the natural action a polytope with a certain volume as a subset of the permutahedron \(\Pi_n\). Additional remarks connecting the main result to the existing literature close the paper.
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permutahedron
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equivariant volume
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permutations
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polytopes
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