Integrability for representations appearing in geometric pre-quantization
Werth, J.-E.
Annales de l'I.H.P. Physique théorique, Tome 37 (1982), p. 189-199 / Harvested from Numdam
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Publié le : 1982-01-01
@article{AIHPA_1982__36_3_189_0,
     author = {Werth, J.-E.},
     title = {Integrability for representations appearing in geometric pre-quantization},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {37},
     year = {1982},
     pages = {189-199},
     mrnumber = {664631},
     zbl = {0504.58024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1982__36_3_189_0}
}

Werth, J.-E. Integrability for representations appearing in geometric pre-quantization. Annales de l'I.H.P. Physique théorique, Tome 37 (1982) pp. 189-199. http://gdmltest.u-ga.fr/item/AIHPA_1982__36_3_189_0/

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

[2] H.D. Doebner and J.-E. Werth, Global properties of systems quantized via bundles, J. Math. Phys., t. 20, 1979. | MR 534339 | Zbl 0417.53020

[3] B. Kostant, Quantization and unitary representations, Lecture Notes in Mathematics, t. 170, Springer, 1970. | MR 294568 | Zbl 0223.53028

[4] S. Lang, Differential Manifolds, Addison-Wesley, 1972. | MR 431240 | Zbl 0239.58001

[5] R.S. Palais, A global formulation of the Lie theory of transformation groups, Mem. of the Amer. Math. Soc., t. 22, 1957. | MR 121424 | Zbl 0178.26502

[6] J.W. Robbin, Symplectic mechanics, Global analysis and its applications, t. III, I. A. E. A., Vienna, 1974. | MR 462058 | Zbl 0323.58013

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

[8] J.-E. Werth, On quantizing A-bundles over Hamilton G-spaces, Ann. Inst. H. Poincaré, Sec. A, t. XXV, 1976. | Numdam | MR 438394 | Zbl 0343.53025

[9] J.-E. Werth, Group actions on quantum bundles, Rep. on Math. Phys., t. 15. 1979. | MR 554159 | Zbl 0422.58018