28 citations · 44 across the 14 of their papers we have counts for
14 papers
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…
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…
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…
Structure of finite dimensional linear bundles morphisms
Fernand Pelletier, Patrick Cabau
Let be a fibre bundle over the -dimensional manifold whose typical fibre is the vector space and let be a fibre bundle over the -di…
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…