Journal of Algebraic Combinatorics

, Volume 45, Issue 3, pp 857–886 | Cite as

Semi-pointed partition posets and species

  • Bérénice Delcroix-Oger


We define semi-pointed partition posets, which are a generalization 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.


Poset Incidence Hopf algebra Möbius number Partitions Species Operad 


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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Institut Camille Jordan, UMR 5208Université Claude Bernard Lyon 1Villeurbanne CedexFrance

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