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Moscow Mathematical Journal, 2006, Volume 6, Number 2, Pages 307–315
DOI: https://doi.org/10.17323/1609-4514-2006-6-2-307-315 (Mi mmj248) 		 
This article is cited in 17 scientific papers (total in 17 papers)

A 2-cocycle on a symplectomorphism group

R. S. Ismagilova, M. V. Losikb, P. W. Michorcd

a N. E. Bauman Moscow State Technical University
b Saratov State University named after N. G. Chernyshevsky
c International Erwin Schrödinger Institute for Mathematical Physics
d University of Vienna
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DOI: https://doi.org/10.17323/1609-4514-2006-6-2-307-315
Abstract: For a symplectic manifold $(M,\omega)$ with exact symplectic form, we construct a 2-cocycle on the symplectomorphism group and indicate cases in which this cocycle is not trivial.
Key words and phrases: Group extension, symplectomorphism.
Received: December 13, 2005
Bibliographic databases:
MSC: 58D05, 20J06, 22E65
Language: English
Citation: R. S. Ismagilov, M. V. Losik, P. W. Michor, “A 2-cocycle on a symplectomorphism group”, Mosc. Math. J., 6:2 (2006), 307–315
Citation in format AMSBIB
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\by R.~S.~Ismagilov, M.~V.~Losik, P.~W.~Michor
\paper A~2-cocycle on a~symplectomorphism group
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 2
\pages 307--315
\mathnet{http://mi.mathnet.ru/mmj248}
\crossref{https://doi.org/10.17323/1609-4514-2006-6-2-307-315}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270616}
\zmath{https://zbmath.org/?q=an:1132.53043}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208595800004}
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