Inversion of some series of free quasi-symmetric functions
Combinatorics
2013-02-12 v1
Abstract
We give a combinatorial formula for the inverses of the alternating sums of free quasi-symmetric functions of the form F_{\omega(I)} where I runs over compositions with parts in a prescribed set C. This proves in particular three special cases (no restriction, even parts, and all parts equal to 2) which were conjectured by B. C. V. Ung in [Proc. FPSAC'98, Toronto].
Keywords
Cite
@article{arxiv.0809.4480,
title = {Inversion of some series of free quasi-symmetric functions},
author = {Florent Hivert and Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:0809.4480},
year = {2013}
}
Comments
6 pages