A Hopf operad of forests of binary trees and related finite-dimensional algebras

Details A Hopf operad of forests of binary trees and related finite-dimensional algebras A Hopf operad of forests of binary trees and related finite-dimensional algebras

2002-09-04

arxiv.org/abs/math/0209038v1

Mathematics

Combinatorics

19 pages, 8 figures

Scientific paper

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.

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