The reduction of symplectic structure and Sternberg construction
Odzijewicz, Anatol
Annales de l'I.H.P. Physique théorique, Tome 41 (1984), p. 361-370 / Harvested from Numdam
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Publié le : 1984-01-01
@article{AIHPA_1984__40_4_361_0,
     author = {Odzijewicz, Anatol},
     title = {The reduction of symplectic structure and Sternberg construction},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {41},
     year = {1984},
     pages = {361-370},
     mrnumber = {757762},
     zbl = {0595.58020},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1984__40_4_361_0}
}

Odzijewicz, Anatol. The reduction of symplectic structure and Sternberg construction. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) pp. 361-370. http://gdmltest.u-ga.fr/item/AIHPA_1984__40_4_361_0/

[1] R. Abraham, J.E. Marsden, Foundations of Mechanics, The Benjamin/Cummings Publishing Company, 1978. | MR 515141 | Zbl 0393.70001

[2] R. Howe, On the role of Heisenberg group in harmonic analysis, Bulletin (New Series) of the American Mathematical Society, V. 3. Number 2, 1980. | MR 578375 | Zbl 0442.43002

[3] A. Kirillov, Elementy teorii priedstawlenij, Editions Nauka, Moscow, 1972. | Zbl 0264.22011

[4] G.M. Marle, Symplectic manifolds, dynamical groups and Hamiltonian mechanics, In: Differential geometry and relativity, M. Cahen and M. Flato eds, 1976. | Zbl 0369.53042

[5] P. Renouard, Thèse, Centre de Documentation C. N. R. S. sous le no. A. O. 3514, 1969.

[6] J.P. Serre, Lie Algebras and Lie Groups, New York, Amsterdam, Benjamin, 1965. | MR 218496 | Zbl 0132.27803

[7] J.M. Souriau, Structure des systèmes dynamiques, Dunod, Paris, 1970. | MR 260238 | Zbl 0186.58001

[8] S. Sternberg, On minimal coupling and the symplectic mechanics of a classical particle, Proc. Nat. Acad. Sci., t. 74, 1977, p. 5253-5254. | MR 458486 | Zbl 0765.58010

[9] V.S. Varadarajan, Harmonic Analysis on Real Reductive Groups, Lecture Notes in Mathematics, t. 576, 1977. | MR 473111 | Zbl 0354.43001