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

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dc.creatorChapoton, Frederic
dc.date2002-09-04
dc.date.accessioned2026-07-07T04:50:35Z
dc.date.available2026-07-07T04:50:35Z
dc.descriptionThe 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.
dc.description19 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0209038
dc.identifierhttp://arxiv.org/abs/math/0209038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64847
dc.subjectCombinatorics
dc.subject18D50 (Primary) 05C05, 06A07 (Secondary)
dc.titleA Hopf operad of forests of binary trees and related finite-dimensional algebras
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