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(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
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...
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Інститут математики НАН України
2015
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147140 |
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irk-123456789-1471402019-02-14T01:25:44Z (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces Lorand, J. Weinstein, А. 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. 2015 Article (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. 1815-0659 2010 Mathematics Subject Classification: 15A21; 18B10; 53D99 DOI:10.3842/SIGMA.2015.072 http://dspace.nbuv.gov.ua/handle/123456789/147140 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| description |
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. |
| format |
Article |
| author |
Lorand, J. Weinstein, А. |
| spellingShingle |
Lorand, J. Weinstein, А. (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Lorand, J. Weinstein, А. |
| author_sort |
Lorand, J. |
| title |
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces |
| title_short |
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces |
| title_full |
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces |
| title_fullStr |
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces |
| title_full_unstemmed |
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces |
| title_sort |
(co)isotropic pairs in poisson and presymplectic vector spaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147140 |
| citation_txt |
(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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT lorandj coisotropicpairsinpoissonandpresymplecticvectorspaces AT weinsteina coisotropicpairsinpoissonandpresymplecticvectorspaces |
| first_indexed |
2023-05-20T17:26:41Z |
| last_indexed |
2023-05-20T17:26:41Z |
| _version_ |
1796153309922328576 |