A Hopf operad of forests of binary trees and related finite-dimensional algebras
Combinatorics
2007-05-23 v1
Abstract
The theme of this article is the algebraic combinatorics of leaf-labeled rooted binary trees and forests of such trees. The structure of a Hopf operad is defined on the vector spaces spanned by forests of leaf-labeled, rooted, binary trees. An explicit formula for the coproduct and its dual product is given, using a poset on forests.
Cite
@article{arxiv.math/0209038,
title = {A Hopf operad of forests of binary trees and related finite-dimensional algebras},
author = {Frederic Chapoton},
journal= {arXiv preprint arXiv:math/0209038},
year = {2007}
}
Comments
19 pages, 8 figures