A Hopf operad of forests of binary trees and related finite-dimensional algebras
Chapoton, Frédéric
HAL, hal-00136880 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-00136880,
     author = {Chapoton, Fr\'ed\'eric},
     title = {A Hopf operad of forests of binary trees and related finite-dimensional algebras},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00136880}
}

Chapoton, Frédéric. A Hopf operad of forests of binary trees and related finite-dimensional algebras. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00136880/