Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited
Combinatorics
2013-02-12 v2
Abstract
We prove a Cauchy identity for free quasi-symmetric functions and apply it to the study of various bases. A free Weyl formula and a generalization of the splitting formula are also discussed.
Cite
@article{arxiv.0809.4479,
title = {Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited},
author = {Gerard H. E. Duchamp and Florent Hivert and Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:0809.4479},
year = {2013}
}
Comments
21 pages, Latex, 2 figures