(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces

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dc.contributor.authorLorand, J.
dc.contributor.authorWeinstein, А.
dc.date.accessioned2019-02-13T17:24:51Z
dc.date.available2019-02-13T17:24:51Z
dc.date.issued2015
dc.description.abstractWe 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.sponsorshipThis 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.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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 15A21; 18B10; 53D99
dc.identifier.otherDOI:10.3842/SIGMA.2015.072
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147140
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.title(Co)isotropic Pairs in Poisson and Presymplectic Vector Spacesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік