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Algebraic structures on integer posets

Abstract : We define a lattice structure and a Hopf algebra on integer posets and use them to recover relevant structures on the elements, the intervals and the faces in the permutahedron, the associahedron, the cube and more generally all permutreehedra.
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https://hal.archives-ouvertes.fr/hal-01858098
Contributor : Viviane Pons Connect in order to contact the contributor
Submitted on : Sunday, August 19, 2018 - 4:42:09 PM
Last modification on : Thursday, July 8, 2021 - 3:50:43 AM
Long-term archiving on: : Tuesday, November 20, 2018 - 12:27:34 PM

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  • HAL Id : hal-01858098, version 1

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Vincent Pilaud, Viviane Pons. Algebraic structures on integer posets. FPSAC 2018 - 30th International Conference on Formal Power Series and Algebraic Combinatorics, Jul 2018, Hanover, United States. ⟨hal-01858098⟩

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