Add to ORKGIn this note, we study the structure of coboundary Lie bialgebroids for a gauge Lie algebroid TM circle plus (M x g), Our study naturally leads to the notion of the so-called dynamical r-matrices coupled with Poisson manifolds, a natural generalization of the usual dynamical r-matrices.SCI(E)CPCI-S(ISTP)
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamica...
AbstractLet P be a Poisson G-space and Λ a classical triangular r-matrix. Using the Poisson reductio...
In this paper we consider the Poisson algebraic structure associated with a classical r-matrix, i.e....
The purpose of this paper is to establish a connection between various objects such as dynamical r-m...
AbstractWe study the relationship between general dynamical Poisson groupoids and Lie quasi-bialgebr...
We study the local structure of Lie bialgebroids at regular points. In particular, we classify all t...
AbstractWe study some general aspects of triangular dynamical r-matrices using Poisson geometry. We ...
AbstractIn this paper we realize the dynamical categories introduced in our previous paper as catego...
From the MR review by W.Oevel: "Three different constructions of multi-Hamiltonian structures associ...
In this thesis, we study the Poisson geometry of moduli spaces of flat and meromorphic connections o...
In this course, we present an elementary introduction, including the proofs of the main theorems, to...
The integrability of two symplectic maps that can be considered as discrete-time analogs of the Gami...
Using recent results of P. Etingof and A. Varchenko on the Classical Dynamical Yang-Baxter equation,...
We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intri...
AbstractWe classify in this paper Poisson structures on modules over semisimple Lie algebras arising...
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamica...
AbstractLet P be a Poisson G-space and Λ a classical triangular r-matrix. Using the Poisson reductio...
In this paper we consider the Poisson algebraic structure associated with a classical r-matrix, i.e....
The purpose of this paper is to establish a connection between various objects such as dynamical r-m...
AbstractWe study the relationship between general dynamical Poisson groupoids and Lie quasi-bialgebr...
We study the local structure of Lie bialgebroids at regular points. In particular, we classify all t...
AbstractWe study some general aspects of triangular dynamical r-matrices using Poisson geometry. We ...
AbstractIn this paper we realize the dynamical categories introduced in our previous paper as catego...
From the MR review by W.Oevel: "Three different constructions of multi-Hamiltonian structures associ...
In this thesis, we study the Poisson geometry of moduli spaces of flat and meromorphic connections o...
In this course, we present an elementary introduction, including the proofs of the main theorems, to...
The integrability of two symplectic maps that can be considered as discrete-time analogs of the Gami...
Using recent results of P. Etingof and A. Varchenko on the Classical Dynamical Yang-Baxter equation,...
We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intri...
AbstractWe classify in this paper Poisson structures on modules over semisimple Lie algebras arising...
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamica...
AbstractLet P be a Poisson G-space and Λ a classical triangular r-matrix. Using the Poisson reductio...
In this paper we consider the Poisson algebraic structure associated with a classical r-matrix, i.e....