Rooted trees and an exponential-like series

Details Rooted trees and an exponential-like series Rooted trees and an exponential-like series

2002-09-10

arxiv.org/abs/math/0209104v1

Mathematics

Quantum Algebra

8 pages, 2 figures

Scientific paper

This paper deals with a group of generalized power series associated to any
augmented operad, focusing on the case of the PreLie operad. The solution of
flow equations using the pre-Lie structure on vector fields on an affine space
gives rise to an interesting element of this group, which deserves to be called
the PreLie exponential.

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