%0 Journal Article
%T Hopf Algebras and Edge-Labeled Posets
%A Nantel Bergeron
%A Frank Sottile
%J Mathematics
%D 1997
%I arXiv
%X Given a finite graded poset with labeled Hasse diagram, we construct a quasi- symmetric generating function for (saturated) chains whose labels have fixed descents. This is a common generalization of a generating function for the flag f-vector defined by Ehrenborg and of a symmetric function associated to certain edge-labeled posets which arose in the theory of Schubert polynomials. We show this construction gives a Hopf morphism from an incidence algebra of edge-labeled posets to the Hopf algebra of quasi-symmetric functions.
%U http://arxiv.org/abs/math/9712256v2