R. S. Ismagilov, M. V. Losik, P. W. Michor, “A 2-cocycle on a symplectomorphism group”, Mosc. Math. J., 2006, Volume 6, Number 2,Pages <nobr>307

This article is cited in 17 papers

A 2-cocycle on a symplectomorphism group

R. S. Ismagilov^a, M. V. Losik^b, P. W. Michor^cd

^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

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.

MSC: 58D05, 20J06, 22E65

Received: December 13, 2005

Language: English

DOI: 10.17323/1609-4514-2006-6-2-307-315