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A symmetric basis of the algebra of quasi-symmetric coinvariants. (Une base symétrique de l’algébre des coinvariants quasi-symétriques.) (French) Zbl 1074.05089

Summary: 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.

MSC:

05E05 Symmetric functions and generalizations
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