3 citations · 3 across the 4 of their papers we have counts for
4 papers
Bialgebra Realization (3). Induced Module, Envelopping Bialgebra, Dual. The Example of the Integration of Classical Vectors Fields
Eric Mourre
In this article an interpretation and a proof of some classical \\theorems in analysis on the integration of analytic vectors fields are derived from the algebraic method of realiz…
Realizations of Bialgebras (II) : Duality Theorem
Eric Mourre
From the method of realization of bialgebras developped in a preceding paper, we obtain the Duality Theorem and apply it to the study of the ideal of relations for each realized bi…
A method of realization of bialgebras, and Hopf algebras associated to some realizations
Eric Mourre
This article introduces a method, which starting from simple and quite general mathematical data, allows to construct linear algebras of operators which are, each of them, endowed…
Theorem on six vertices of a plane curve via the Sturm theory
L. Guieu, E. Mourre, V. Yu. Ovsienko
We discuss the theorem on the existence of six points on a convex closed plane curve in which the curve has a contact of order six with the osculating conic. (This is the ``project…