An Operational Calculus for the Mould Operad

DOI10.1093/imrn/rnn018zbMath1146.18301arXiv0710.0349OpenAlexW2133879535MaRDI QIDQ3515979

Frédéric Chapoton, Jean-Christophe Novelli, Florent Hivert, Jean-Yves Thibon

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0349

Mathematics Subject Classification ID

Related Items (16)

Binary shuffle bases for quasi-symmetric functions ⋮ The Pieri rule for dual immaculate quasi-symmetric functions ⋮ A multivariate ``inv hook formula for forests ⋮ A set-operad of formal fractions and dendriform-like sub-operads ⋮ The tridendriform structure of a discrete Magnus expansion ⋮ Mould calculus, polyhedral cones, and characters of combinatorial Hopf algebras. ⋮ The Magnus expansion, trees and Knuth's rotation correspondence ⋮ Celebrating Loday's associahedron ⋮ Linear extension sums as valuations on cones ⋮ Exceptional and modern intervals of the Tamari lattice ⋮ Hepp's bound for Feynman graphs and matroids ⋮ Natural endomorphisms of quasi-shuffle Hopf algebras ⋮ Dendriform equations ⋮ A countercyclical operad on shrubs ⋮ The bounded derived categories of the Tamari lattices are fractionally Calabi-Yau ⋮ Duplicial algebras, parking functions, and Lagrange inversion

Uses Software

• OEIS

This page was built for publication: An Operational Calculus for the Mould Operad