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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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| dc.contributor.author | Lorand, J. | |
| dc.contributor.author | Weinstein, А. | |
| dc.date.accessioned | 2019-02-13T17:24:51Z | |
| dc.date.available | 2019-02-13T17:24:51Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | (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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 15A21; 18B10; 53D99 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.072 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147140 | |
| dc.description.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 Z, which takes one 10-tuple of invariants to the other. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
