14 citations · 65 across the 9 of their papers we have counts for
13 papers
Matrix Dressing Beyond Pfaff-Toda
Sylvain Carpentier, Marta Dell'Atti
We develop a matrix pseudodifference operator framework that places theAdler-Pfaff and Pfaff-Toda hierarchies in a common algebraic setting. The bi-infinite Adler-Pfaff hierarchy t…
Quantisations of the Volterra hierarchy
Sylvain Carpentier, Alexander V. Mikhailov, Jing Ping Wang
In this paper we explore a recently emerged approach to the problem of quantisation based on the notion of quantisation ideals. We explicitly prove that the nonabelian Volterra tog…
Lax-Sato formulation of the Novikov-Veselov Hierarchy
Sylvain Carpentier
We construct a hierarchy of pairwise commuting flows indexed by and on triples $(\mathcal{L}_1, \mathcal{L}_2, \mathcal{H}…
Supersymmetric Bi-Hamiltonian Systems
Sylvain Carpentier, Uhi Rinn Suh
We construct super Hamiltonian integrable systems within the theory of Supersymmetric Poisson vertex algebras (SUSY PVAs). We provide a powerful tool for the understanding of SUSY…
p-reduced multicomponent KP hierarchy and classical W-algebras W(gl_N,p)
Sylvain Carpentier, Alberto De Sole, Victor G. Kac +2
For each partition p of an integer N \geq 2, consisting of r parts, an integrable hierarchy of Lax type Hamiltonian PDE has been constructed recently by some of us. In the present…
PreHamiltonian and Hamiltonian operators for differential-difference equations
Sylvain Carpentier, Alexander V. Mikhailov, Jing Ping Wang
In this paper we are developing a theory of rational (pseudo) difference Hamiltonian operators, focusing in particular on its algebraic aspects. We show that a pseudo--difference H…