Jean-Christophe Novelli, Jean-Yves Thibon
Published 2004-11-17Version 1
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.
Comments: 8 pages, LaTex
Journal: Annals of Combinatorics 11 (2007), 59-68
Some Enumerations for Parking Functions
A note on three types of quasisymmetric functions
Properties of the descent algebras of type $D$
![QR code for arXiv:math/0411387 [math.CO]](http://oss.arxitics.com/images/favicon.svg)