Une base sym\'etrique de l'alg\`ebre des coinvariants quasi-sym\'etriques
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\'ecrit une nouvelle base de l'alg\`ebre des coinvariants quasi-sym\'etriques, qui est stable par l'involution naturelle et index\'ee par les triangulations d'un polygone r\'egulier.
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