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Pointed and multi-pointed partitions of type A and B

Frederic Chapoton·Bruno Vallette
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Abstract

The aim of this paper is to define and study pointed and multi-pointed partition posets of type A and B (in the classification of Coxeter groups). We compute their characteristic polynomials, incidence Hopf algebras and homology groups. As a corollary, we get that some operads are Koszul over Z. Cet article introduit et etudie les posets des partitions pointees et multi-pointees en type A et B (dans la classification des groupes de Coxeter finis). Leurs polynomes caracteristiques, leurs algebres de Hopf d'incidence et leurs groupes d'homologie sont calcules. Comme corollaire, on obtient que certaines operades sont de Koszul sur Z.

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BibTeXRIS

Frederic Chapoton, Bruno Vallette. 2004-10-04. Pointed and multi-pointed partitions of type A and B. https://arxiv.org/abs/math/0410051

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