Une base sym\'etrique de l'alg\`ebre des coinvariants quasi-sym\'etriques
Quantum Algebra
2007-10-24 v1 Combinatorics
Abstract
We describe a new basis of the ring of quasi-symmetric coinvariants, which is stable by the natural reversal of the set of variables. The indexing set is the set of triangulations of a regular polygon, instead of the set of Dyck paths used for the known basis. On d\'{e}crit une nouvelle base de l'alg\`{e}bre des coinvariants quasi-sym\'{e}triques, qui est stable par l'involution naturelle et index\'{e}e par les triangulations d'un polygone r\'{e}gulier.
Keywords
Cite
@article{arxiv.math/0506192,
title = {Une base sym\'etrique de l'alg\`ebre des coinvariants quasi-sym\'etriques},
author = {Frédéric Chapoton},
journal= {arXiv preprint arXiv:math/0506192},
year = {2007}
}
Comments
6 pages, 2 figures