Based on Hopf algebra of rooted trees introduced by Connes and Kreimer, we construct a class of linear maps on noncommutative polynomial algebra in two indeterminates, namely rooted tree maps. We also prove that their maps induce a class of relations among multiple zeta values
CombinatoricsInternational audienceA non-commutative, planar, Hopf algebra of planar rooted trees wa...
Abstract: We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As ...
We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As a special ...
Rooted tree maps assign to an element of the Connes-Kreimer Hopf algebra of rooted trees a linear ma...
AbstractHopf algebra structures on rooted trees are by now a well-studied object, especially in the ...
International audienceHopf algebra structures on rooted trees are by now a well-studied object, espe...
International audienceHopf algebra structures on rooted trees are by now a well-studied object, espe...
International audienceHopf algebra structures on rooted trees are by now a well-studied object, espe...
AbstractIt is known that the vector space spanned by labeled rooted trees forms a Hopf algebra. Let ...
AbstractWe develop the Hopf algebraic structure based on the set of functional graphs, which general...
In the literature several Hopf algebras that can be described in terms of trees have been studied. T...
AbstractLet A be a commutative k-algebra over a field of k and Ξ a linear operator defined on A. We ...
AbstractWe consider the combinatorial Dyson–Schwinger equation X=B+(P(X)) in the non-commutative Con...
CombinatoricsInternational audienceA non-commutative, planar, Hopf algebra of planar rooted trees wa...
We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As a special ...
CombinatoricsInternational audienceA non-commutative, planar, Hopf algebra of planar rooted trees wa...
Abstract: We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As ...
We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As a special ...
Rooted tree maps assign to an element of the Connes-Kreimer Hopf algebra of rooted trees a linear ma...
AbstractHopf algebra structures on rooted trees are by now a well-studied object, especially in the ...
International audienceHopf algebra structures on rooted trees are by now a well-studied object, espe...
International audienceHopf algebra structures on rooted trees are by now a well-studied object, espe...
International audienceHopf algebra structures on rooted trees are by now a well-studied object, espe...
AbstractIt is known that the vector space spanned by labeled rooted trees forms a Hopf algebra. Let ...
AbstractWe develop the Hopf algebraic structure based on the set of functional graphs, which general...
In the literature several Hopf algebras that can be described in terms of trees have been studied. T...
AbstractLet A be a commutative k-algebra over a field of k and Ξ a linear operator defined on A. We ...
AbstractWe consider the combinatorial Dyson–Schwinger equation X=B+(P(X)) in the non-commutative Con...
CombinatoricsInternational audienceA non-commutative, planar, Hopf algebra of planar rooted trees wa...
We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As a special ...
CombinatoricsInternational audienceA non-commutative, planar, Hopf algebra of planar rooted trees wa...
Abstract: We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As ...
We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As a special ...