- Journal Article
Rights / licenseCreative Commons Attribution-ShareAlike 4.0 International
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
Journal / seriesSymmetry Integrability and Geometry: Methods and Applications
Pages / Article No.
PublisherDepartment of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine
SubjectCoisotropic subspace; Direct sum decomposition; Poisson vector space; Presymplectic vector space
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