Rooted trees, non-rooted trees and hamiltonian B-series
classification
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cs.NAmath.CO
keywords
treesnon-rootedrootedantisymmetrizationb-seriesbracketexplorefree
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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.
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