Parking Functions and Descent Algebras
Combinatorics
2013-02-12 v1 Group Theory
Abstract
We show that the notion of parkization of a word, a variant of the classical standardization, allows to introduce an internal product on the Hopf algebra of parking functions. Its Catalan subalgebra is stable under this operation and contains the descent algebra as a left ideal.
Cite
@article{arxiv.math/0411387,
title = {Parking Functions and Descent Algebras},
author = {Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:math/0411387},
year = {2013}
}
Comments
8 pages, LaTex