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arXiv · 0704.1795

Le module dendriforme sur le groupe cyclique

Frédéric Chapoton
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Abstract

The structure of anticyclic operad on the Dendriform operad defines in particular a matrix of finite order acting on the vector space spanned by planar binary trees. We compute its characteristic polynomial and propose a (compatible) conjecture for the characteristic polynomial of the Coxeter transformation for the Tamari lattice, which is mostly a square root of this matrix.

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Frédéric Chapoton. 2007-04-13. Le module dendriforme sur le groupe cyclique. https://arxiv.org/abs/0704.1795

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