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arXiv · 1503.00169

(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces

Jonathan Lorand·Alan Weinstein
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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 $\mathbb{Z}$, which takes one 10-tuple of invariants to the other.

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Jonathan Lorand, Alan Weinstein. 2015-02-28. (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces. https://doi.org/10.3842/sigma.2015.072

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