In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space Q = R N, by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this article, we claim that such an extension can be done consistently when Q is a Lie group G
This work examines the existence of shifted symplectic and Poisson structures on certain spaces of f...
Abstract: Given a Lie algebroid and a bundle over its base which is endowed with a localizable Poiss...
We discuss recent results extending the notions of hamiltonian action and reduction in symplectic ge...
Extending earlier work [7], we examine the deformation of the canonical symplectic structure in a co...
8 pages.During the last thirty years, symplectic or Marsden--Weinstein reduction has been a major to...
We describe the structure of the Lie groups endowed with a left-invariant symplectic form, called sy...
Motivated by the group of Galilean transformations and the subgroup of Galilean transformations whic...
37 pagesThere exist three main approaches to reduction associated to canonical Lie group actions on ...
Symplectic and Poisson structures of certain moduli spaces/Huebschmann,J./ Abstract: Let $\pi$ be th...
Cotangent bundle reduction theory is a basic and well developed subject in which one performs symple...
The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched ...
Cover topics including induction and reduction for systems with symmetry, symplectic geometry and to...
International audienceWe study local normal forms for completely integrable sys-tems on Poisson mani...
This dissertation investigates the problem of locally embedding singular Poisson spaces. Specifical...
International audienceWe prove that shifted cotangent stacks carry a canonical shifted symplectic st...
This work examines the existence of shifted symplectic and Poisson structures on certain spaces of f...
Abstract: Given a Lie algebroid and a bundle over its base which is endowed with a localizable Poiss...
We discuss recent results extending the notions of hamiltonian action and reduction in symplectic ge...
Extending earlier work [7], we examine the deformation of the canonical symplectic structure in a co...
8 pages.During the last thirty years, symplectic or Marsden--Weinstein reduction has been a major to...
We describe the structure of the Lie groups endowed with a left-invariant symplectic form, called sy...
Motivated by the group of Galilean transformations and the subgroup of Galilean transformations whic...
37 pagesThere exist three main approaches to reduction associated to canonical Lie group actions on ...
Symplectic and Poisson structures of certain moduli spaces/Huebschmann,J./ Abstract: Let $\pi$ be th...
Cotangent bundle reduction theory is a basic and well developed subject in which one performs symple...
The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched ...
Cover topics including induction and reduction for systems with symmetry, symplectic geometry and to...
International audienceWe study local normal forms for completely integrable sys-tems on Poisson mani...
This dissertation investigates the problem of locally embedding singular Poisson spaces. Specifical...
International audienceWe prove that shifted cotangent stacks carry a canonical shifted symplectic st...
This work examines the existence of shifted symplectic and Poisson structures on certain spaces of f...
Abstract: Given a Lie algebroid and a bundle over its base which is endowed with a localizable Poiss...
We discuss recent results extending the notions of hamiltonian action and reduction in symplectic ge...
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