no. 2
Kaehler coherent state orbits for representations of semisimple Lie groups
Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 2, pp. 245-258. 
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     author = {Lisiecki, W.},
     title = {Kaehler coherent state orbits for representations of semisimple {Lie} groups},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {245--258},
     publisher = {Gauthier-Villars},
     volume = {53},
     number = {2},
     year = {1990},
     mrnumber = {1079780},
     zbl = {0724.22013},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1990__53_2_245_0/}
}
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Lisiecki, W. Kaehler coherent state orbits for representations of semisimple Lie groups. Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 2, pp. 245-258. http://archive.numdam.org/item/AIHPA_1990__53_2_245_0/

[Bo] A. Borel, Kählerian Coset Spaces of Semisimple Lie Groups, Proc. Nat. Acad. Sci., U.S.A., 1954, Vol. 40, pp. 1147-1151. | MR | Zbl

[DN] J. Dorfmeister and K. Nakajima, The Fundamental Conjecture for Homogeneous Kähler Manifilds, Acta Math., 1988, Vol. 161, pp. 23-70. | MR | Zbl

[EPW] M.G. Eastwood, R. Penrose and R.O. Wells, Cohomology and Massless Fields, Commun. Math. Phys., 1981, Vol. 78, pp. 305-351. | MR | Zbl

[EHW] T. Enright, R. Howe E. and N. Wallach, A Classification of unitary Highest Weight Modules. In: Representation Theory of Reductive Groups. Proceedings, Park City 1982, Prog. Math., 1983, Vol. 40, pp. 97-143. Boston: Birkäuser. | MR | Zbl

[GS] V. Guillemin and S. Sternberg, Symplectic Techniques in Physics, Cambridge, Cambridge University Press, 1986, | MR | Zbl

[Ha] Harish-Chandra, Representations of Semisimple Lie Groups IV, V. Am. J. Math., 1955, Vol. 77, pp. 743-777; 1956, Vol. 78, pp. 1-41. | MR | Zbl

[Ka] H.P. Jakobsen, Hermitian Symmetric Spaces and their Unitary Highest Weight Modules, J. Funct. Anal., 1983, Vol. 52, pp. 385-412. | MR | Zbl

[JaV] H.P. Jakobsen and M. Vergne, Wave and Dirac Operators and Representations of the Conformal Group, J. Funct. Anal., 1977, Vol. 24, pp. 52-106. | MR | Zbl

[Ko] B. Kostant, Quantization and Unitary Representations. In: Lectures in Modern Analysis III, Lect. Notes Math., 1970, Vol. 170, pp. 87-208. Berlin, Heidelberg, New York, Springer. | MR | Zbl

[KoS] B. Kostant and S. Sternberg, Symplectic Projective Orbits, P. J. HILTON and G. S. YOUNG Eds., New Directions in Applied Mathematics. Proceedings, Cleveland 1980, pp. 81-84. Berlin, Heidelberg, New York, Springer 1982. | MR | Zbl

[Ma] G. Mack, All Unitary Ray Representations of the Conformal Group SU (2, 2) with Positive Energy, Commun. Math. Phys., 1977, Vol. 55, pp. 1-28. | MR | Zbl

[MZ] D. Montgomery and L. Zippin, Topological Transformation Groups, New York, Wiley, 1955. | MR | Zbl

[MV] H. Moscovici and A. Verona, Coherent States and Square Integrable Representations, Ann. Inst. Henri Poincaré, 1978, Vol. 24, pp. 139-156. | Numdam | MR | Zbl

[Od] A. Odzijewicz, On Reproducing Kernels and Quantization of States, Commun. Math. Phys., 1988, Vol. 114, pp. 577-597. | MR | Zbl

[OW] H. Ozeki and M. Wakimoto, On Polarizations of Certain Homogeneous Spaces, Hiroshima Math. J., 1972, Vol. 2, pp. 445-482. | MR | Zbl

[Pe1] A.M. Perelomov, Coherent States for Arbitrary Lie Groups, Commun. Math. Phys., 1972, Vol. 26, pp. 222-236. | MR | Zbl

[Pe2] A.M. Perelomov, Generalized Coherent States and their Applications, Berlin, Heidelberg, New York, Springer, 1986. | MR | Zbl

[RSW] J. Rawnsley, W. Schmid and J.A. Wolf, Singular Unitary Representations and Indefinite Harmonic Theory, J. Funct. Anal., 1983, Vol. 51, pp. 1-114. | MR | Zbl

[RRG] D. J RowE, G. Rosensteel and R. Gilmore, Vector coherent state representation theory, J. Math. Phys., 1985, Vol. 26, pp. 2787-2791. | MR | Zbl

[Sch] W. Schmid, Boundary value problems for group invariant differential equations, Élie Cartan et les mathématiques d'aujourd'hui, Proceedings, Lyon 1984, Astérisque, 1985, Numéro Hors Série, pp. 311-322. | Numdam | MR | Zbl

[SW] S. Sternberg and J.A. Wolf, Hermitian Lie algebras and metaplectic representations, Trans. Am. Math. Soc., 1978, Vol. 238, pp. 1-43. | MR | Zbl

[Tu] G.M. Tuynman, Studies in geometric quantization, Ph. D. Thesis, Amsterdam, 1987.

[Va] V.S. Varadarajan, Infinitesimal theory of representations of semismple Lie groups, J. A. WOLF, M. CAHEN and M. DE WILDE Eds., Harmonic analysis and representations of semisimple Lie groups, Lect. Notes, Liège 1977, pp. 131-255, Dordrecht, Boston, London: D. Reidel 1980. | Zbl

[VG] E.B. Vinberg and S.G. Gindikin, Kähler manifolds admitting a transitive solvable group of automorphisms, Mat. Sb., 1967, Vol. 74, pp. 357-377. | MR | Zbl