On the polarizers of compact semi-simple Lie groups. Applications

C. Duval

Annales de l'I.H.P. Physique théorique (1981)

  • Volume: 34, Issue: 1, page 95-115
  • ISSN: 0246-0211

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Duval, C.. "On the polarizers of compact semi-simple Lie groups. Applications." Annales de l'I.H.P. Physique théorique 34.1 (1981): 95-115. <http://eudml.org/doc/76109>.

@article{Duval1981,
author = {Duval, C.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {unitary symmetry; polarizer; prequantizable symplectic manifold; co- adjoint orbits; compact semi-simple Lie group},
language = {eng},
number = {1},
pages = {95-115},
publisher = {Gauthier-Villars},
title = {On the polarizers of compact semi-simple Lie groups. Applications},
url = {http://eudml.org/doc/76109},
volume = {34},
year = {1981},
}

TY - JOUR
AU - Duval, C.
TI - On the polarizers of compact semi-simple Lie groups. Applications
JO - Annales de l'I.H.P. Physique théorique
PY - 1981
PB - Gauthier-Villars
VL - 34
IS - 1
SP - 95
EP - 115
LA - eng
KW - unitary symmetry; polarizer; prequantizable symplectic manifold; co- adjoint orbits; compact semi-simple Lie group
UR - http://eudml.org/doc/76109
ER -

References

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  1. [1] A. Kirillov, Elements de la théorie des représentations. Éd. MIR, Moscou, 1974. MR393324
  2. [2] B. Kostant, Quantization and Unitary Representations. Lect. Notes in Math., t. 170, Springer-Verlag, Berlin, 1970. Zbl0223.53028MR294568
  3. [3] J.M. Souriau, Structure des systèmes dynamiques. Dunod, Paris, 1970. Structure of Dynamical Systems (in preparation). Zbl0186.58001MR260238
  4. [4] S. Sternberg, On the Role of Field Theories in our Physical Conception of Geometry. Differential Methods in Mathematical Physics II, Proceedings Bonn, 1977, Springer-Verlag, Berlin, 1978. Zbl0393.53039MR519606
  5. [5] C. Duval, Sur les mouvements classiques dans un champ de Yang-Mills. Preprint C. P. T., Marseille, 1978, p. 1056. On the Prequantum Description of Spinning Particles in an External Gauge Field. Méthodes de Géométrie Différentielle en Physique-Mathématique, Colloque Int. C. N. R. S., Proceedings Aix-en–Provence, 1979, Springer-Verlag (to appear). 
  6. [6] D.B. Lichtenberg, Unitary Symmetry and Elementary Particles. 2nd Ed., Academic Press, New-York, 1978. MR269208
  7. [7] S. Kobayashi, K. Nomizu, Foundations of Differential Geometry. Interscience, New York, t. 1 et 2, 1962, 1969. Zbl0119.37502
  8. [8] N.R. Wallach, Symplectic Geometry and Fourier Analysis. Math. Sci. Press, 1977. Zbl0379.53010MR488148
  9. [9] J. Loeb, Formule de Kirillov pour les groupes de Lie semi-simples compacts. Analyse harmonique sur les groupes de Lie, Séminaire Nancy-Strasbourg, 1973- 1975, Springer-Verlag, Berlin, 1975. Zbl0319.22013MR407204
  10. [10] G. Warner, Harmonic Analysis on Semi-Simple Lie Groups I. Springer-Verlag, Berlin, 1972. Zbl0265.22020MR498999
  11. [11] J.P. Serre, Algèbres de Lie semi-simples complexes. Benjamin, New York, 1966. Zbl0144.02105MR215886
  12. [12] D.J. Simms, N.M.J. Woodhouse, Lectures on Geometric Quantization. Lect. notes in Physics, t. 53, Springer-Verlag, Berlin, 1976. Zbl0343.53023MR672639
  13. [13] M. Gell-Mann, Y. Ne'eman, The Eightfold Way. Benjamin, 1964. MR180214

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