Free quasi-symmetric functions of arbitrary level
Combinatorics
2007-05-23 v2
Abstract
We introduce analogues of the Hopf algebra of Free quasi-symmetric functions with bases labelled by colored permutations. As applications, we recover in a simple way the descent algebras associated with wreath products and the corresponding generalizations of quasi-symmetric functions. Also, we obtain Hopf algebras of colored parking functions, colored non-crossing partitions and parking functions of type .
Cite
@article{arxiv.math/0405597,
title = {Free quasi-symmetric functions of arbitrary level},
author = {Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:math/0405597},
year = {2007}
}
Comments
11 pages, AMS LaTex