Pointed and multi-pointed partitions of type A and B

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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.
21 pages, 3 figures

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Quantum Algebra, MSC2000 : Primary 05E25,06A11 Secondary 18D50

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http://salesiana.dossiersoluciones.com/handle/123456789/72727

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410051
 http://arxiv.org/abs/math/0410051

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arXiv