We study the local structure of Lie bialgebroids at regular points. In particular, we classify all transitive Lie bialgebroids. In special cases, they are connected to classical dynamical r-matrices and matched pairs induced by Poisson group actions.Physics, MathematicalSCI(E)8ARTICLE115-286
International audienceLet G be a connected Lie group and g its Lie algebra. We denote by ∇0 the to...
2nd version: improved exposition, added some commentsWe prove the existence of a local analytic Levi...
Abstract. We introduce and study a class of Lie algebroids associated to faithful modules which is m...
In this note, we study the structure of coboundary Lie bialgebroids for a gauge Lie algebroid TM cir...
AbstractWe prove that, for any transitive Lie bialgebroid (A, A∗), the differential associated to th...
We prove that, for any transitive Lie bialgebroid (A, A*), the differential associated to the Lie al...
AbstractWe study the relationship between general dynamical Poisson groupoids and Lie quasi-bialgebr...
The purpose of this paper is to establish a connection between various objects such as dynamical r-m...
AbstractIn this paper we realize the dynamical categories introduced in our previous paper as catego...
In this course, we present an elementary introduction, including the proofs of the main theorems, to...
We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intri...
AbstractWe prove that under certain mild assumptions a Lie bialgebroid integrates to a Poisson group...
According to conclusions made by F. Montaner and E. Zelmanov (unpublished), there exist four Lie bia...
In this thesis we study geometric structures from Poisson and generalized complex geometry with mild...
In his study of Dirac structures, a notion which includes both Poisson structures and closed 2-forms...
International audienceLet G be a connected Lie group and g its Lie algebra. We denote by ∇0 the to...
2nd version: improved exposition, added some commentsWe prove the existence of a local analytic Levi...
Abstract. We introduce and study a class of Lie algebroids associated to faithful modules which is m...
In this note, we study the structure of coboundary Lie bialgebroids for a gauge Lie algebroid TM cir...
AbstractWe prove that, for any transitive Lie bialgebroid (A, A∗), the differential associated to th...
We prove that, for any transitive Lie bialgebroid (A, A*), the differential associated to the Lie al...
AbstractWe study the relationship between general dynamical Poisson groupoids and Lie quasi-bialgebr...
The purpose of this paper is to establish a connection between various objects such as dynamical r-m...
AbstractIn this paper we realize the dynamical categories introduced in our previous paper as catego...
In this course, we present an elementary introduction, including the proofs of the main theorems, to...
We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intri...
AbstractWe prove that under certain mild assumptions a Lie bialgebroid integrates to a Poisson group...
According to conclusions made by F. Montaner and E. Zelmanov (unpublished), there exist four Lie bia...
In this thesis we study geometric structures from Poisson and generalized complex geometry with mild...
In his study of Dirac structures, a notion which includes both Poisson structures and closed 2-forms...
International audienceLet G be a connected Lie group and g its Lie algebra. We denote by ∇0 the to...
2nd version: improved exposition, added some commentsWe prove the existence of a local analytic Levi...
Abstract. We introduce and study a class of Lie algebroids associated to faithful modules which is m...
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