Séminaire Lotharingien de Combinatoire, 80B.61 (2018), 12 pp.

Vincent Pilaud and Viviane Pons

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.

Received: November 14, 2017. Accepted: February 17, 2018. Final version: April 1, 2018.

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