4 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…