31 citations · 42 across the 12 of their papers we have counts for
5 papers · 1 filter
Cohomology rings of toric varieties assigned to cluster quivers: the case of unioriented quivers of type A
Frederic Chapoton
The theory of cluster algebras of S. Fomin and A. Zelevinsky has assigned a fan to each Dynkin diagram. Then A. Buan, R. Marsh, M. Reineke, I. Reiten and G. Todorov have generalize…
On the Coxeter transformations for Tamari posets
Frederic Chapoton
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 struct…
Pointed and multi-pointed partitions of type A and B
Frederic Chapoton, Bruno Vallette
The aim of this paper is to define and study pointed and multi-pointed partition posets of type A and B (in the classification of Coxeter groups). We compute their characteristic p…
Rooted trees and an exponential-like series
Frederic Chapoton
This paper deals with a group of generalized power series associated to any augmented operad, focusing on the case of the PreLie operad. The solution of flow equations using the pr…
Pre-Lie algebras and the rooted trees operad
Frederic Chapoton, Muriel Livernet
A Pre-Lie algebra is a vector space L endowed with a bilinear product * : L \times L to L satisfying the relation (x*y)*z-x*(y*z)= (x*z)*y-x*(z*y), for all x,y,z in L. We give an e…