Polynomial realizations of some combinatorial Hopf algebras
Autor: | Foissy, L., Novelli, J. -C., Thibon, J. -Y. |
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Rok vydání: | 2010 |
Předmět: | |
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 |
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