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

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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.
19 pages, 8 figures

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Combinatorics, 18D50 (Primary) 05C05, 06A07 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/64847

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209038
 http://arxiv.org/abs/math/0209038

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arXiv