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

Journal of Algebraic Combinatorics (2004) 20(3) 311-330
DOI: 10.1023/B:JACO.0000048517.19053.ff
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Abstract

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. © 2004 Kluwer Academic Publishers.

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Chapoton, F. (2004). A Hopf operad of forests of binary trees and related finite-dimensional algebras. Journal of Algebraic Combinatorics, 20(3), 311–330. https://doi.org/10.1023/B:JACO.0000048517.19053.ff

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