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(Co)isotropic pairs in poisson and presymplectic vector spaces

  • Author(s): Lorand, J
  • Weinstein, A
  • et al.

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© 2015, Institute of Mathematics. All right reserved. 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.

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