Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
Annales de l'I.H.P. Physique théorique, Tome 38 (1983) no. 3, pp. 215-241. 
@article{AIHPA_1983__38_3_215_0,
     author = {Moreno, Carlos and Ortega-Navarro, Pilar},
     title = {Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {215--241},
     publisher = {Gauthier-Villars},
     volume = {38},
     number = {3},
     year = {1983},
     mrnumber = {708962},
     zbl = {0528.58013},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1983__38_3_215_0/}
}
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
SP  - 215
EP  - 241
VL  - 38
IS  - 3
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1983__38_3_215_0/
LA  - en
ID  - AIHPA_1983__38_3_215_0
ER  - 
%0 Journal Article
%A Moreno, Carlos
%A Ortega-Navarro, Pilar
%T Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
%J Annales de l'I.H.P. Physique théorique
%D 1983
%P 215-241
%V 38
%N 3
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1983__38_3_215_0/
%G en
%F AIHPA_1983__38_3_215_0
Moreno, Carlos; Ortega-Navarro, Pilar. Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization. Annales de l'I.H.P. Physique théorique, Tome 38 (1983) no. 3, pp. 215-241. http://archive.numdam.org/item/AIHPA_1983__38_3_215_0/

[1] F.A. Berezin, Math. USSR. Izvestija, t. 8, 1974, p. 1109. | Zbl

[2] F.A. Berezin, Math. USSR. Izvestija, t. 9, 1975, p. 341. | Zbl

[3] F.A. Berezin, Commun. Math. Phys., t. 40, 1975, p. 153. | MR

[4] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, D. Sternheimer, Ann. Phys., I, II, t. 111, 1978, p. 61-151. | MR | Zbl

[5] J. Vey, Comment. Math. Helvet, t. 50, 1975, p. 421-454. | MR | Zbl

[6] S. Gutt, Ann. Inst. Henri Poincaré, Section A, t. XXXIII, p. 1-31. | Numdam | MR | Zbl

[7] S. Gutt, Contribution à l'étude des espaces symplectiques homogènes. Mémoire de l'Académie Royale de Belgique (in press). | Zbl

[8] A. Lichnerowicz, Annali di Matematica, t. 123, 1980, p. 287-330. | MR | Zbl

[9] A. Lichnerowicz, Lett. Math. Phys., t. 2, 1977, p. 133-143. | MR | Zbl

[10] A. Lichnerowicz, Lett. Math. Phys., t. 5, 1981, p. 85-160.

[11] C. Fronsdal, Reports on Math. Phys., t. 15, 1978, p. 11-145.

[12] F.A. Berezin, Math. USSR. Izvestija, t, 6, 1972, p. 1117-1151. | Zbl

[13] E. Combet, Lectures Notes on Mathematics, N° 937, Springer-Verlag, Berlin, 1982. | Zbl

[14] C. Moreno, Produits et Analyse spectrale. A paraître.

[15] C. Moreno, Produits et analyse spectrale. Actes des « Journées relativistes, 1981 », Grenoble.

[16] G.S. Agarwal, E. Wolf, Phys. Rev., t. 2, 1970, p. 2161. | MR

[17] A. Grossmann, P. Huguenin, Group Theoretical Aspects of the Wigner-Weil Isomorphism (preprint), 1977. | MR

[18] A. Grossmann, Geometry of real and complex canonical transformations in Quantum Mechanics (preprint), 1977. | MR

[19] Shoichiro Sakai, C*-algebras and w*-algebras, Proc. Internat. Congr. Math., Nice, 1970.

[20] M. Cahen, S. Gutt, Lett. Math. Phys., t. 5, 1981, p. 219-228. | MR | Zbl

[21] S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, t. 2, Interscience Publishers, 1969. | Zbl

[22] S. Helgason, Lie groups and Symmetric Spaces in Batelle Rencontres, p. 1-71, Benjamin, New York, 1968, | MR | Zbl

[23] S. Helgason, Differential Geometry, Lie groups and Symmetric Spaces, Academic Press, 1978. | MR | Zbl

[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. | Zbl

[25] J. Milnor, Morse Theory, Ann. of Math. Stud., t. 51. Princeton University Press, 1963. | MR | Zbl

[26] I.M. Guelfand, G.E. Chilov, Les distributions, t. 1, Dunod, Paris, 1962. | MR | Zbl

[27] C. Moreno, P. Ortega-Navarro, Accepted in Lett. Math. Phys.

[28] A. Crumeyrolle, Deformations d'Algebres associées à une variété symplectique, construction effective . A paraître dans: Ann. Inst. Henri Poincaré. | Numdam | Zbl

[29] V.A. Lugo, Lett. Math. Phys., t. 5, n° 6, 1981, p. 509. | MR | Zbl

[30] P. Molin, Thèse présentée à l'Université de Dijon, 1981.

[31] D. Arnal, *-produits et représentations de groupes nilpotents (preprint).