A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions

Fuente: arXiv
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Autori principali: Bouillot, Olivier, Novelli, Jean-Christophe, Thibon, Jean-Yves
Natura: Preprint
Pubblicazione: 2022
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author Bouillot, Olivier
Novelli, Jean-Christophe
Thibon, Jean-Yves
author_facet Bouillot, Olivier
Novelli, Jean-Christophe
Thibon, Jean-Yves
contents We define a two-parameter deformation of the quasi-shuffle by means of the formal group law associated with the exponential generating function of the homogeneous Eulerian polynomials, and construct bases of $QSym$ and $\WQSym$ whose product rule is given by this operation.
format Preprint
id arxiv_https___arxiv_org_abs_2209_13317
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions
Bouillot, Olivier
Novelli, Jean-Christophe
Thibon, Jean-Yves
Combinatorics
We define a two-parameter deformation of the quasi-shuffle by means of the formal group law associated with the exponential generating function of the homogeneous Eulerian polynomials, and construct bases of $QSym$ and $\WQSym$ whose product rule is given by this operation.
title A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions
topic Combinatorics
url https://arxiv.org/abs/2209.13317