Geodesic
Pointed and multi-pointed partitions of type $A$ and $B$
Journal of Algebraic Combinatorics, Tome 23 (2006) no. 4, pp. 295-316.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 show that some operads are Koszul over $\mathbb Z$ mathbbZ .
Keywords: keywords type A, type B, partitions 
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     author = {Chapoton, F. and Vallette, B.},
     title = {Pointed and multi-pointed partitions of type $A$ and $B$},
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Chapoton, F.; Vallette, B. Pointed and multi-pointed partitions of type $A$ and $B$. Journal of Algebraic Combinatorics, Tome 23 (2006) no. 4, pp. 295-316. http://geodesic.mathdoc.fr/item/JAC_2006__23_4_a4/