38 citations · 88 across the 16 of their papers we have counts for
4 papers · 1 filter
Classification of some simple graded pre-Lie algebras of growth one
Frederic Chapoton
We classify a class of infinite-dimensional simple graded pre-Lie algebras on the graded vector space underlying the algebra of Laurent polynomials, with a specific form for the pr…
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…
A Hopf operad of forests of binary trees and related finite-dimensional algebras
Frederic Chapoton
The theme of this article is the algebraic combinatorics of leaf-labeled rooted binary trees and forests of such trees. The structure of a Hopf operad is defined on the vector spac…
Polytopal realizations of generalized associahedra
Frederic Chapoton, Sergey Fomin, Andrei Zelevinsky
In hep-th/0111053, a complete simplicial fan was associated to an arbitrary finite root system. It was conjectured that this fan is the normal fan of a simple convex polytope (a ge…