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Elementary systems for lie algebra bundle actions

  • II. Symplectic Geometry
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Book cover Differential Geometric Methods in Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 905))

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This work was done under the program Sonderforschungsbereich “Theoretische Mathematik” (SFB 40) at the University of Bonn.

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References

  1. Arnold, V.I., Mathematical Methods of Classical Mechanics, Springer Verlag.

    Google Scholar 

  2. Bargman, V., Ann. Math., 59, 1 (1954).

    Article  Google Scholar 

  3. Cartan, E., Ann. Ecole Norm. Sup. 40 (1923). Ann. Ecole Norm. Sup. 41 (1924).

    Google Scholar 

  4. Cartan, E., La Méthode de Répère Mobile, la Théory de Groupes Continus et les Espaces Géneralisées, Herman, Paris, France.

    Google Scholar 

  5. Duval, Ch. and Küzle, H., Rep. Math. Phys., Vol. 3 1978.

    Google Scholar 

  6. Greub, W., Halpern, L., and Vanstone, R., Connections, curvature and cohomology, Vol. II, New York, Academic Press 1973.

    MATH  Google Scholar 

  7. Guillemin, V. and Sternberg, S., Hadronic Journal, Vol. 1, No. 1, Nonatim Mass. 1978.

    Google Scholar 

    Google Scholar 

  8. Guillemin, V. and Sternberg, S., Ann. of Phys. 1980.

    Google Scholar 

  9. Kazhdan, D., Kostant, B., and Sternberg, S., C.P.A.M. (1978).

    Google Scholar 

  10. Kostant, B., Quantization and unitary representations, Lectures on Modern Analysis and Application III, Springer Verlag (1970).

    Google Scholar 

  11. Marsden, J. and Weinstein, A., Rep. Math. Phys. 5 (1974).

    Google Scholar 

  12. Misner, C.H.W., Thorne, K.S. and Wheeler, J.A., Gravitation, Freeman & Co. (1973).

    Google Scholar 

  13. Segal, I., Mathematical Cosmology and Extragalactic Astronomy, New York, Academic Press, 1975.

    Google Scholar 

  14. Souriau, J.M., Ann. Inst. H. Poinc. Sec A, Vol XX, No. 4, 1974.

    Google Scholar 

    Google Scholar 

  15. Souriau, J.M., Structure des Systèmes Dynamiques, Paris, Dunod, 1970.

    MATH  Google Scholar 

  16. Sternberg, S., Differential Geometrical Methods in Mathematical Physics, Bonn, 1977, Lecture Notes in Mathematics, Vol. 676.

    Google Scholar 

  17. Sternberg, S. and Ungar, T., Hadronic Journal, Vol. I, No. I, 1978, Nonatum, Mass.

    Google Scholar 

    Google Scholar 

  18. Sternberg, S. and Wolf, J.A., N. Cimento, Vol. 28A, No. 2, 1975.

    Google Scholar 

    Google Scholar 

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© 1982 Springer-Verlag Berlin Heidelberg

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Ungar, T. (1982). Elementary systems for lie algebra bundle actions. In: Doebner, HD., Andersson, S.I., Petry, H.R. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 905. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092428

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  • DOI: https://doi.org/10.1007/BFb0092428

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11197-9

  • Online ISBN: 978-3-540-39002-2

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