A Hopf Operad of Forests of Binary Trees and Related Finite-Dimensional Algebras |
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| Authors: | Frédéric Chapoton |
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| Affiliation: | (1) Institut Girard Desargues, Université, Lyon 1, 21 Avenue Claude Bernard, F-69622 Villeurbanne Cedex, France |
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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. |
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| Keywords: | Hopf operad binary tree poset |
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