Transitive symplectic manifolds in 1+2 dimensions

Journal of Mathematical Physics

Volumn 37, Issue 1, 1996, Pages 240-253

  Grigore, D R ^a  

^a INSTITUTE OF ATOMIC PHYSICS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030547277     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531388     Document Type: Article

References (10)

1. D. R. Grigore, "The projective unitary irreducible representations of the Poincaré group in 1+2 dimensions," J. Math. Phys. 34, 4172-4189 (1993).
2. D. R. Grigore, "The projective unitary irreducible representations of the Galilei group in 1+2 dimensions" (preprint IFA-TH-393-1993, December, hep-th/9312048), to appear in J. Math. Phys.
3. B. Kostant, Quantization and Unitary Representations, Lecture Notes in Mathematics (Springer, New York, 1970), Vol. 70.
4. J. M. Souriau, Structure des Systèmes Dynamiques (Dunod, Paris, 1970).
5. A. Kirillov, Éléments de la Théorie des Répresentations (Mir, Moscow, 1970).
6. V. Guillemin and S. Sternberg, Symplectic Techniques in Physics (Cambridge University, Cambridge, 1984).
7. D. R. Grigore and O. T. Popp, "The complete classification of generalized homogeneous symplectic manifolds," J. Math. Phys. 30, 2476-2483 (1989).
8. A. Ballesteros, M. Gadela, and M. A. Del Olmo, "Moyal quantization of 2+1-dimensional Galilei group," J. Math. Phys. 33, 3379-3386 (1992).
9. P. Gerbert, "On spin and (quantum) gravity in 2+1 dimensions," Nucl. Phys. B 346, 440-472 (1990).
10. D. R. Grigore, "Localisability in classical mechanics," J. Phys. A 23, 3525-3545 (1990).