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On the Coxeter transformations for Tamari posets

Frederic Chapoton
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Abstract

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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Frederic Chapoton. 2005-02-03. On the Coxeter transformations for Tamari posets. https://arxiv.org/abs/math/0502065

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