Une base symétrique de l'algèbre des coinvariants quasi-symétriques

Details Une base symétrique de l'algèbre des coinvariants quasi-symétriques Une base symétrique de l'algèbre des coinvariants quasi-symétriques

2005-06-10

arxiv.org/abs/math/0506192v1

The Electronic Journal of Combinatorics 12, 1 (2005) N16

Mathematics

Quantum Algebra

6 pages, 2 figures

Scientific paper

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.

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