(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Lorand, J., Weinstein, А.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147140
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces / J. Lorand, A. Weinstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 17 назв. — англ.

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...