The reduction of symplectic structure and Sternberg construction

Anatol Odzijewicz

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 40, Issue: 4, page 361-370
  • ISSN: 0246-0211

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Odzijewicz, Anatol. "The reduction of symplectic structure and Sternberg construction." Annales de l'I.H.P. Physique théorique 40.4 (1984): 361-370. <http://eudml.org/doc/76241>.

@article{Odzijewicz1984,
author = {Odzijewicz, Anatol},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {symplectic manifolds; reduction; Hamiltonian G-space},
language = {eng},
number = {4},
pages = {361-370},
publisher = {Gauthier-Villars},
title = {The reduction of symplectic structure and Sternberg construction},
url = {http://eudml.org/doc/76241},
volume = {40},
year = {1984},
}

TY - JOUR
AU - Odzijewicz, Anatol
TI - The reduction of symplectic structure and Sternberg construction
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 40
IS - 4
SP - 361
EP - 370
LA - eng
KW - symplectic manifolds; reduction; Hamiltonian G-space
UR - http://eudml.org/doc/76241
ER -

References

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  1. [1] R. Abraham, J.E. Marsden, Foundations of Mechanics, The Benjamin/Cummings Publishing Company, 1978. Zbl0393.70001MR515141
  2. [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. Zbl0442.43002MR578375
  3. [3] A. Kirillov, Elementy teorii priedstawlenij, Editions Nauka, Moscow, 1972. Zbl0264.22011
  4. [4] G.M. Marle, Symplectic manifolds, dynamical groups and Hamiltonian mechanics, In: Differential geometry and relativity, M. Cahen and M. Flato eds, 1976. Zbl0369.53042
  5. [5] P. Renouard, Thèse, Centre de Documentation C. N. R. S. sous le no. A. O. 3514, 1969. 
  6. [6] J.P. Serre, Lie Algebras and Lie Groups, New York, Amsterdam, Benjamin, 1965. Zbl0132.27803MR218496
  7. [7] J.M. Souriau, Structure des systèmes dynamiques, Dunod, Paris, 1970. Zbl0186.58001MR260238
  8. [8] S. Sternberg, On minimal coupling and the symplectic mechanics of a classical particle, Proc. Nat. Acad. Sci., t. 74, 1977, p. 5253-5254. Zbl0765.58010MR458486
  9. [9] V.S. Varadarajan, Harmonic Analysis on Real Reductive Groups, Lecture Notes in Mathematics, t. 576, 1977. Zbl0354.43001MR473111

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