6 papers
Partial Nambu-Poisson structures on a convenient manifold
Patrick Cabau, Fernand Pelletier
This paper offers an adaptation to the convenient setting of finite dimensional Nambu-Poisson structures. In particular, for partial Nambu structures, we look for those whose class…
A survey on partial Nambu-Poisson structures in the convenient setting
Patrick Cabau, Fernand Pelletier
This paper is a survey (may be incomplete) on partial Nambu-Poisson structures in infinite dimension, mainly in the convenient setting. These ones can be seen as a generalization o…
Partial Poisson Lie groups and groupoids. Application to Von Neumann algebras
Fernand Pelletier, Patrick Cabau
The purpose of this paper is to propose a version of the notion of convenient Lie groupoid as a generalization of this concept in finite dimension. The authors point out which obst…
Partial Dirac Structures and Dynamical Systems
Fernand Pelletier, Patrick Cabau
In a previous paper (PeCa24), the notion of Dirac structure in finite dimension was extended to the convenient setting. In particular, we introduce the notion of \emph{partial Dira…
Smooth Banach structure on orbit spaces and leaf spaces
Daniel Beltita, Fernand Pelletier
We investigate the quotients of Banach manifolds with respect to free actions of pseudogroups of local diffeomorphisms. These quotient spaces are called H-manifolds since the corre…
Partial Dirac structures in infinite dimension
Fernand Pelletier, Patrick Cabau
In this paper the notion of Dirac structure in finite dimension is extended to the convenient setting. In particular, we introduce the notion of partial Dirac structure on convenie…