An operational calculus for the Mould operad
Quantum Algebra
2007-10-18 v3 Combinatorics
Abstract
The operad of moulds is realized in terms of an operational calculus of formal integrals (continuous formal power series). This leads to many simplifications and to the discovery of various suboperads. In particular, we prove a conjecture of the first author about the inverse image of non-crossing trees in the dendriform operad. Finally, we explain a connection with the formalism of noncommutative symmetric functions.
Cite
@article{arxiv.0710.0349,
title = {An operational calculus for the Mould operad},
author = {Frédéric Chapoton and Florent Hivert and Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:0710.0349},
year = {2007}
}
Comments
16 pages, one reference added and minor changes in v2