Semi-pointed partition posets and Species

2015/06/03 by Delcroix-Oger, Bérénice · 1 citation
#Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1506.01237

Abstract

We define semi-pointed partition posets, which are a generalisation of partition posets and show that they are Cohen-Macaulay. We then use multichains to compute the dimension and the character for the action of the symmetric groups on their homology. We finally study the associated incidence Hopf algebra, which is similar to the Faà di Bruno Hopf algebra.

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• Lie-operads and operadic modules from poset cohomology

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