Algebraic structures on integer posets

Vincent Pilaud; Viviane Pons

Algebraic structures on integer posets

Vincent Pilaud
, Viviane Pons

INRIA Saclay, Laboratoire de Recherche en Informatique (LRI), Université Paris Sud

Research output: Contribution to conference › Paper › peer-review

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.

Original language	English
Publication status	Published - 1 Jan 2018
Event	30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States Duration: 16 Jul 2018 → 20 Jul 2018

Conference

Conference	30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018
Country/Territory	United States
City	Hanover
Period	16/07/18 → 20/07/18

Cite this

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AU - Pons, Viviane

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M3 - Paper

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T2 - 30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018

Y2 - 16 July 2018 through 20 July 2018

ER -

Algebraic structures on integer posets

Abstract

Conference

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