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This article is cited in 4 scientific papers (total in 4 papers)
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
Jonathan Loranda, Alan Weinsteinb a Department of Mathematics, ETH Zurich, Zurich, Switzerland
b Department of Mathematics, University of California, Berkeley, CA 94720 USA
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 $\mathbb{Z}$, which takes one 10-tuple of invariants to the other.
Keywords:
coisotropic subspace; direct sum decomposition; Poisson vector space; presymplectic vector space.
Received: March 1, 2015; in final form September 3, 2015; Published online September 10, 2015
Citation:
Jonathan Lorand, Alan Weinstein, “(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces”, SIGMA, 11 (2015), 072, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1053 https://www.mathnet.ru/eng/sigma/v11/p72
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Abstract page: | 163 | Full-text PDF : | 42 | References: | 31 |
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