Geodesic
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: coisotropic subspace; direct sum decomposition; Poisson vector space; presymplectic vector space. 
@article{SIGMA_2015_11_a71,
     author = {Jonathan Lorand and Alan Weinstein},
     title = {(Co)isotropic {Pairs} in {Poisson} and {Presymplectic} {Vector} {Spaces}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2015},
     volume = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a71/}
}
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Jonathan Lorand; Alan Weinstein. (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a71/

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