
Open access
Date
2015-09-10Type
- Journal Article
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 Z, which takes one 10-tuple of invariants to the other. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000104531Publication status
publishedExternal links
Journal / series
Symmetry Integrability and Geometry: Methods and ApplicationsVolume
Pages / Article No.
Publisher
Department of Applied Research, Institute of Mathematics of National Academy of Sciences of UkraineSubject
Coisotropic subspace; Direct sum decomposition; Poisson vector space; Presymplectic vector spaceMore
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