Semi-pointed partition posets and Species
Combinatorics
2015-06-04 v1 Algebraic Topology
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 Fa{\`a} di Bruno Hopf algebra.
Cite
@article{arxiv.1506.01237,
title = {Semi-pointed partition posets and Species},
author = {Bérénice Delcroix-Oger},
journal= {arXiv preprint arXiv:1506.01237},
year = {2015}
}
Comments
27 pages