Polynomial realizations of some combinatorial Hopf algebras

Autor:	Foissy, L., Novelli, J. -C., Thibon, J. -Y.
Rok vydání:	2010
Předmět:	Mathematics - Combinatorics 05C05 16W30
Druh dokumentu:	Working Paper
Popis:	We construct explicit polynomial realizations of some combinatorial Hopf algebras based on various kind of trees or forests, and some more general classes of graphs, ranging from the Connes-Kreimer algebra to an algebra of labelled forests isomorphic to the Hopf algebra of parking functions, and to a new noncommutative algebra based on endofunctions admitting many interesting subalgebras and quotients. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1009.2067 Zobrazit plný text záznamu View this record from Arxiv