Hopf algebras of permutahedra, associahedra and hypercubes (Q1977157)
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scientific article; zbMATH DE number 1444136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hopf algebras of permutahedra, associahedra and hypercubes |
scientific article; zbMATH DE number 1444136 |
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Hopf algebras of permutahedra, associahedra and hypercubes (English)
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22 June 2000
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Three graded Hopf algebras over \(\mathbb{Z}\) are constructed, each one having in degree \(n\) a basis indexed by the faces of a polytope of dimension \(n-1\), respectively the hypercube, the associahedron, and the permutahedron.
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graded Hopf algebras
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hypercubes
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associahedra
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permutahedra
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0.9314939
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0.91157323
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0.90050423
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0.9000795
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0.8989836
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0.89529693
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