AFFINE GROUP AS SYMPLECTIC MANIFOLD

Authors
BORDEMANN M MEDINA A OUADFEL A
Citation
M. Bordemann et al., AFFINE GROUP AS SYMPLECTIC MANIFOLD, Tohoku Mathematical Journal, 45(3), 1993, pp. 423-436
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
45
Issue
3
Year of publication
1993
Pages
423 - 436
Database
ISI
SICI code
0040-8735(1993)45:3<423:AGASM>2.0.ZU;2-Z
Abstract
For a Lie group carrying a left invariant symplectic form certain Lagr angian foliations are considered. We describe all left invariant (exac t) symplectic structures on the affine group K(n) x GL(K(n)) for K=R o r C. It is shown that for some of these structures there exists an exa ct symplectic embeding of the real affine group onto an open subset of the cotangent bundle of the Euclidean group R(n) x SO(n).