A survey on partial Nambu-Poisson structures in the convenient setting

Abstract

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 of both partial Poisson and Nambu-Poisson structures. We also study the properties of the associated characteristic distribution. Finally, we are interested in the projective and direct limits of such structures.