(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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2015 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2015
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147140 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862654838426304512 |
|---|---|
| author | Lorand, J. Weinstein, А. |
| author_facet | Lorand, J. Weinstein, А. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-02T01:25:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147140 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T01:25:13Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Lorand, J. Weinstein, А. 2019-02-13T17:24:51Z 2019-02-13T17:24:51Z 2015 (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 https://nasplib.isofts.kiev.ua/handle/123456789/147140 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces Article published earlier |
| spellingShingle | (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces Lorand, J. Weinstein, А. |
| title | (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_short | (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces |
| title_sort | (co)isotropic pairs in poisson and presymplectic vector spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147140 |
| work_keys_str_mv | AT lorandj coisotropicpairsinpoissonandpresymplecticvectorspaces AT weinsteina coisotropicpairsinpoissonandpresymplecticvectorspaces |