On the Coxeter transformations for Tamari posets

Details On the Coxeter transformations for Tamari posets On the Coxeter transformations for Tamari posets

2005-02-03

arxiv.org/abs/math/0502065v1

Mathematics

Quantum Algebra

9 pages, 1 figure

Scientific paper

On obtient une relation entre la transformation de Coxeter agissant sur le groupe de Grothendieck de la categorie derivee des modules sur un poset de Tamari d'une part et la structure de l'operade anticyclique dendriforme d'autre part. A relation between the anticyclic structure of the dendriform operad and the Coxeter transformations in the Grothendieck groups of the derived categories of modules over the Tamari posets is obtained.

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