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.
Complete list of metadatas

Cited literature [16 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01858098
Contributor : Viviane Pons <>
Submitted on : Sunday, August 19, 2018 - 4:42:09 PM
Last modification on : Wednesday, March 27, 2019 - 4:41:27 PM
Long-term archiving on : Tuesday, November 20, 2018 - 12:27:34 PM

File

61-Pilaud-Pons.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01858098, version 1

Citation

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⟩

Share

Metrics

Record views

248

Files downloads

43