Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization

Carlos Moreno; Pilar Ortega-Navarro

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 38, Issue: 3, page 215-241
  • ISSN: 0246-0211

How to cite

top

Moreno, Carlos, and Ortega-Navarro, Pilar. "Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization." Annales de l'I.H.P. Physique théorique 38.3 (1983): 215-241. <http://eudml.org/doc/76196>.

@article{Moreno1983,
author = {Moreno, Carlos, Ortega-Navarro, Pilar},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {deformations; star products; Poincare disk; Weyl method},
language = {eng},
number = {3},
pages = {215-241},
publisher = {Gauthier-Villars},
title = {Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization},
url = {http://eudml.org/doc/76196},
volume = {38},
year = {1983},
}

TY - JOUR
AU - Moreno, Carlos
AU - Ortega-Navarro, Pilar
TI - Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 38
IS - 3
SP - 215
EP - 241
LA - eng
KW - deformations; star products; Poincare disk; Weyl method
UR - http://eudml.org/doc/76196
ER -

References

top
  1. [1] F.A. Berezin, Math. USSR. Izvestija, t. 8, 1974, p. 1109. Zbl0312.53049
  2. [2] F.A. Berezin, Math. USSR. Izvestija, t. 9, 1975, p. 341. Zbl0324.53049
  3. [3] F.A. Berezin, Commun. Math. Phys., t. 40, 1975, p. 153. MR411452
  4. [4] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, D. Sternheimer, Ann. Phys., I, II, t. 111, 1978, p. 61-151. Zbl0377.53024MR496157
  5. [5] J. Vey, Comment. Math. Helvet, t. 50, 1975, p. 421-454. Zbl0351.53029MR420753
  6. [6] S. Gutt, Ann. Inst. Henri Poincaré, Section A, t. XXXIII, p. 1-31. Zbl0476.53021MR593022
  7. [7] S. Gutt, Contribution à l'étude des espaces symplectiques homogènes. Mémoire de l'Académie Royale de Belgique (in press). Zbl0523.53049
  8. [8] A. Lichnerowicz, Annali di Matematica, t. 123, 1980, p. 287-330. Zbl0441.53029MR581934
  9. [9] A. Lichnerowicz, Lett. Math. Phys., t. 2, 1977, p. 133-143. Zbl0392.58019MR488140
  10. [10] A. Lichnerowicz, Lett. Math. Phys., t. 5, 1981, p. 85-160. 
  11. [11] C. Fronsdal, Reports on Math. Phys., t. 15, 1978, p. 11-145. 
  12. [12] F.A. Berezin, Math. USSR. Izvestija, t, 6, 1972, p. 1117-1151. Zbl0259.47004
  13. [13] E. Combet, Lectures Notes on Mathematics, N° 937, Springer-Verlag, Berlin, 1982. Zbl0489.58002
  14. [14] C. Moreno, Produits et Analyse spectrale. A paraître. 
  15. [15] C. Moreno, Produits et analyse spectrale. Actes des « Journées relativistes, 1981 », Grenoble. 
  16. [16] G.S. Agarwal, E. Wolf, Phys. Rev., t. 2, 1970, p. 2161. MR395537
  17. [17] A. Grossmann, P. Huguenin, Group Theoretical Aspects of the Wigner-Weil Isomorphism (preprint), 1977. MR522827
  18. [18] A. Grossmann, Geometry of real and complex canonical transformations in Quantum Mechanics (preprint), 1977. MR508404
  19. [19] Shoichiro Sakai, C*-algebras and w*-algebras, Proc. Internat. Congr. Math., Nice, 1970. 
  20. [20] M. Cahen, S. Gutt, Lett. Math. Phys., t. 5, 1981, p. 219-228. Zbl0459.53045MR624765
  21. [21] S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, t. 2, Interscience Publishers, 1969. Zbl0175.48504
  22. [22] S. Helgason, Lie groups and Symmetric Spaces in Batelle Rencontres, p. 1-71, Benjamin, New York, 1968, Zbl0177.50601MR236325
  23. [23] S. Helgason, Differential Geometry, Lie groups and Symmetric Spaces, Academic Press, 1978. Zbl0451.53038MR514561
  24. [24] Hua Loo-Keng, Harmonic Analysis of functions of several complex variables in the classical domains, Transl. Math. Monographs, t. 6, Amer. Math. Soc., Providence, R. I., 1963. Zbl0112.07402
  25. [25] J. Milnor, Morse Theory, Ann. of Math. Stud., t. 51. Princeton University Press, 1963. Zbl0108.10401MR1747528
  26. [26] I.M. Guelfand, G.E. Chilov, Les distributions, t. 1, Dunod, Paris, 1962. Zbl0115.10102MR132390
  27. [27] C. Moreno, P. Ortega-Navarro, Accepted in Lett. Math. Phys. 
  28. [28] A. Crumeyrolle, Deformations d'Algebres associées à une variété symplectique, construction effective . A paraître dans: Ann. Inst. Henri Poincaré. Zbl0486.58016
  29. [29] V.A. Lugo, Lett. Math. Phys., t. 5, n° 6, 1981, p. 509. Zbl0523.58018MR637631
  30. [30] P. Molin, Thèse présentée à l'Université de Dijon, 1981. 
  31. [31] D. Arnal, *-produits et représentations de groupes nilpotents (preprint). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.