(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
Symplectic Geometry
2015-09-11 v2
Abstract
We give two equivalent sets of invariants which classify pairs of coisotropic subspaces of finite-dimensional Poisson vector spaces. For this it is convenient to dualize; we work with pairs of isotropic subspaces of presymplectic vector spaces. We identify ten elementary types which are the building blocks of such pairs, and we write down a matrix, invertible over , which takes one 10-tuple of invariants to the other.
Keywords
Cite
@article{arxiv.1503.00169,
title = {(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces},
author = {Jonathan Lorand and Alan Weinstein},
journal= {arXiv preprint arXiv:1503.00169},
year = {2015}
}