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(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
Інший ID:
2010 Mathematics Subject Classification: 15A21; 18B10; 53D99
DOI:10.3842/SIGMA.2015.072
DOI:10.3842/SIGMA.2015.072
Посилання:
(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.
Підтримка:
This paper is a contribution to the Special Issue on Poisson Geometry in Mathematics and Physics. The full
collection is available at http://www.emis.de/journals/SIGMA/Poisson2014.html.
Jonathan Lorand was partially supported by ETH Zurich, the city of Zurich, and the Anna
& Hans K¨agi Foundation. Part of this research was conducted while he was at UC Berkeley
as a Visiting Student Researcher. The authors wish to thank the referees, in particular for
comments which led to a more concise presentation of our results.
Дата:
2015
Переглядів:
614
Завантажень:
236
Анотація:
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.
