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Article Dans Une Revue Numerische Mathematik Année : 2017

Hamiltonian B-series and a Lie algebra of non-rooted trees

Résumé

We explore the relationship between (non-planar) rooted trees and free trees, i.e. without root. We give in particular, for non-rooted trees, a substitute for the Lie bracket given by the antisymmetrization of the pre-Lie product.

Dates et versions

hal-03044315 , version 1 (07-12-2020)

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Geir Bogfjellmo, Charles H. Curry, Dominique Manchon. Hamiltonian B-series and a Lie algebra of non-rooted trees. Numerische Mathematik, 2017. ⟨hal-03044315⟩
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