On the polarizers of compact semi-simple Lie groups. Applications
Duval, C.
Annales de l'I.H.P. Physique théorique, Tome 35 (1981), p. 95-115 / Harvested from Numdam
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Publié le : 1981-01-01
@article{AIHPA_1981__34_1_95_0,
     author = {Duval, Christian},
     title = {On the polarizers of compact semi-simple Lie groups. Applications},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {35},
     year = {1981},
     pages = {95-115},
     mrnumber = {605359},
     zbl = {0471.22023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1981__34_1_95_0}
}

Duval, C. On the polarizers of compact semi-simple Lie groups. Applications. Annales de l'I.H.P. Physique théorique, Tome 35 (1981) pp. 95-115. http://gdmltest.u-ga.fr/item/AIHPA_1981__34_1_95_0/

[1] A. Kirillov, Elements de la théorie des représentations. Éd. MIR, Moscou, 1974. | MR 393324

[2] B. Kostant, Quantization and Unitary Representations. Lect. Notes in Math., t. 170, Springer-Verlag, Berlin, 1970. | MR 294568 | Zbl 0223.53028

[3] J.M. Souriau, Structure des systèmes dynamiques. Dunod, Paris, 1970. Structure of Dynamical Systems (in preparation). | MR 260238 | Zbl 0186.58001

[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. | MR 519606 | Zbl 0393.53039

[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] D.B. Lichtenberg, Unitary Symmetry and Elementary Particles. 2nd Ed., Academic Press, New-York, 1978. | MR 269208

[7] S. Kobayashi, K. Nomizu, Foundations of Differential Geometry. Interscience, New York, t. 1 et 2, 1962, 1969. | Zbl 0119.37502

[8] N.R. Wallach, Symplectic Geometry and Fourier Analysis. Math. Sci. Press, 1977. | MR 488148 | Zbl 0379.53010

[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. | MR 407204 | Zbl 0319.22013

[10] G. Warner, Harmonic Analysis on Semi-Simple Lie Groups I. Springer-Verlag, Berlin, 1972. | MR 498999 | Zbl 0265.22020

[11] J.P. Serre, Algèbres de Lie semi-simples complexes. Benjamin, New York, 1966. | MR 215886 | Zbl 0144.02105

[12] D.J. Simms, N.M.J. Woodhouse, Lectures on Geometric Quantization. Lect. notes in Physics, t. 53, Springer-Verlag, Berlin, 1976. | MR 672639 | Zbl 0343.53023

[13] M. Gell-Mann, Y. Ne'Eman, The Eightfold Way. Benjamin, 1964. | MR 180214