Berezin's quantization on flag manifolds and spherical modules

Transactions of the American Mathematical Society

Volumn 350, Issue 4, 1998, Pages 1467-1479

  Karabegov, Alexander V ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

Harish Chandra modules; Quantization; Symbols

Indexed keywords

EID: 22044441527     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-98-02099-6     Document Type: Article

References (8)

1. F.A.Berezin, Quantization on bounded complex domains, Soviet Math. Dokl., 14(1973), 12091213. MR 48:1034
2. F.A.Berezin, General concept of quantization, Comm. Math. Phys. 40 (1975), 153-174. M53:1518
3. M.Cahen, S.Gutt, J.Rawnsley, Quantization of Kahler manifolds II, TAMS, 337 (1993)73-98. MR 93i:5806
4. N.Wildberger, On the Fourier transform of a compact semisimple Lie group, J. AustralMath. Soc. Ser. A 56 (1994), 64-116. MR 95g:2202
5. M.Duflo, Representations irréductibles des groupes semi-simples complexes, Lecture Notes iMath., vol. 497, Springer-Verlag, Berlin, Heidelberg and New York, 1975, pp. 26-88. M53:3198
6. J.Dixmier, Algèbres enveloppantes, Gauthier-Villars, Paris, 1974. MR 58:16803a
7. F.Bayen et al., Deformation theory and quantization, Ann. Phys. Ill (1978) 61-151. M58:14737a,b
8. J.Rawnsley, M.Cahen, S.Gutt, Quantization of Kahler manifolds I: Geometric interpretatioof Berezin's quantization, J. Geom. Phys. 7 (1990), 45-62. MR 92e:58082