Integrability for representations appearing in geometric pre-quantization

J.-E. Werth

Annales de l'I.H.P. Physique théorique (1982)

  • Volume: 36, Issue: 3, page 189-199
  • ISSN: 0246-0211

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Werth, J.-E.. "Integrability for representations appearing in geometric pre-quantization." Annales de l'I.H.P. Physique théorique 36.3 (1982): 189-199. <http://eudml.org/doc/76154>.

@article{Werth1982,
author = {Werth, J.-E.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {skew-adjoint Lie algebra representations; group actions on quantizing bundles; quantum bundle; Kostant's Hermitian line bundle},
language = {eng},
number = {3},
pages = {189-199},
publisher = {Gauthier-Villars},
title = {Integrability for representations appearing in geometric pre-quantization},
url = {http://eudml.org/doc/76154},
volume = {36},
year = {1982},
}

TY - JOUR
AU - Werth, J.-E.
TI - Integrability for representations appearing in geometric pre-quantization
JO - Annales de l'I.H.P. Physique théorique
PY - 1982
PB - Gauthier-Villars
VL - 36
IS - 3
SP - 189
EP - 199
LA - eng
KW - skew-adjoint Lie algebra representations; group actions on quantizing bundles; quantum bundle; Kostant's Hermitian line bundle
UR - http://eudml.org/doc/76154
ER -

References

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  1. [1] R. Abraham and J.E. Marsden, Foundations of Mechanics, The Benjamin, 1978. Zbl0393.70001MR515141
  2. [2] H.D. Doebner and J.-E. Werth, Global properties of systems quantized via bundles, J. Math. Phys., t. 20, 1979. Zbl0417.53020MR534339
  3. [3] B. Kostant, Quantization and unitary representations, Lecture Notes in Mathematics, t. 170, Springer, 1970. Zbl0223.53028MR294568
  4. [4] S. Lang, Differential Manifolds, Addison-Wesley, 1972. Zbl0239.58001MR431240
  5. [5] R.S. Palais, A global formulation of the Lie theory of transformation groups, Mem. of the Amer. Math. Soc., t. 22, 1957. Zbl0178.26502MR121424
  6. [6] J.W. Robbin, Symplectic mechanics, Global analysis and its applications, t. III, I. A. E. A., Vienna, 1974. Zbl0323.58013MR462058
  7. [7] J.-M. Souriau, Structure des systèmes dynamiques, Dunod, 1970. Zbl0186.58001MR260238
  8. [8] J.-E. Werth, On quantizing A-bundles over Hamilton G-spaces, Ann. Inst. H. Poincaré, Sec. A, t. XXV, 1976. Zbl0343.53025MR438394
  9. [9] J.-E. Werth, Group actions on quantum bundles, Rep. on Math. Phys., t. 15. 1979. Zbl0422.58018MR554159

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