On Posets and Hopf Algebras
✍
Richard Ehrenborg
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 810 KB
We generalize the notion of the rank-generating function of a graded poset. Namely, by enumerating different chains in a poset, we can assign a quasi-symmetric function to the poset. This map is a Hopf algebra homomorphism between the reduced incidence Hopf algebra of posets and the Hopf algebra of