A comodule-bialgebra structure for word-series substitution and mould composition
Combinatorics
2017-09-08 v2 Quantum Algebra
Abstract
An internal coproduct is described, which is compatible with Hoffman's quasi-shuffle product. Hoffman's quasi-shuffle Hopf algebra, with deconcatenation coproduct, is a comodule-Hopf algebra over the bialgebra thus defined. The relation with J. Ecalle's mould calculus, i.e. mould composition and contracting arborification, is precised.
Cite
@article{arxiv.1609.03549,
title = {A comodule-bialgebra structure for word-series substitution and mould composition},
author = {Kurusch Ebrahimi-Fard and Frédéric Fauvet and Dominique Manchon},
journal= {arXiv preprint arXiv:1609.03549},
year = {2017}
}
Comments
revised version, accepted for publication in Journal of Algebra