@article{AIHPA_1990__53_2_245_0, 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://www.numdam.org/item/AIHPA_1990__53_2_245_0/} }
TY - JOUR AU - Lisiecki, W. TI - Kaehler coherent state orbits for representations of semisimple Lie groups JO - Annales de l'I.H.P. Physique théorique PY - 1990 SP - 245 EP - 258 VL - 53 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1990__53_2_245_0/ LA - en ID - AIHPA_1990__53_2_245_0 ER -
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://www.numdam.org/item/AIHPA_1990__53_2_245_0/
[Bo] Kählerian Coset Spaces of Semisimple Lie Groups, Proc. Nat. Acad. Sci., U.S.A., 1954, Vol. 40, pp. 1147-1151. | MR | Zbl
,[DN] The Fundamental Conjecture for Homogeneous Kähler Manifilds, Acta Math., 1988, Vol. 161, pp. 23-70. | MR | Zbl
and ,[EPW] Cohomology and Massless Fields, Commun. Math. Phys., 1981, Vol. 78, pp. 305-351. | MR | Zbl
, and ,[EHW] 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
, . and ,[GS] Symplectic Techniques in Physics, Cambridge, Cambridge University Press, 1986, | MR | Zbl
and ,[Ha] 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] Hermitian Symmetric Spaces and their Unitary Highest Weight Modules, J. Funct. Anal., 1983, Vol. 52, pp. 385-412. | MR | Zbl
,[JaV] Wave and Dirac Operators and Representations of the Conformal Group, J. Funct. Anal., 1977, Vol. 24, pp. 52-106. | MR | Zbl
and ,[Ko] 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] 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
and ,[Ma] 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] Topological Transformation Groups, New York, Wiley, 1955. | MR | Zbl
and ,[MV] Coherent States and Square Integrable Representations, Ann. Inst. Henri Poincaré, 1978, Vol. 24, pp. 139-156. | Numdam | MR | Zbl
and ,[Od] On Reproducing Kernels and Quantization of States, Commun. Math. Phys., 1988, Vol. 114, pp. 577-597. | MR | Zbl
,[OW] On Polarizations of Certain Homogeneous Spaces, Hiroshima Math. J., 1972, Vol. 2, pp. 445-482. | MR | Zbl
and ,[Pe1] Coherent States for Arbitrary Lie Groups, Commun. Math. Phys., 1972, Vol. 26, pp. 222-236. | MR | Zbl
,[Pe2] Generalized Coherent States and their Applications, Berlin, Heidelberg, New York, Springer, 1986. | MR | Zbl
,[RSW] Singular Unitary Representations and Indefinite Harmonic Theory, J. Funct. Anal., 1983, Vol. 51, pp. 1-114. | MR | Zbl
, and ,[RRG] Vector coherent state representation theory, J. Math. Phys., 1985, Vol. 26, pp. 2787-2791. | MR | Zbl
RowE, and ,[Sch] 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] Hermitian Lie algebras and metaplectic representations, Trans. Am. Math. Soc., 1978, Vol. 238, pp. 1-43. | MR | Zbl
and ,[Tu] Studies in geometric quantization, Ph. D. Thesis, Amsterdam, 1987.
,[Va] 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] Kähler manifolds admitting a transitive solvable group of automorphisms, Mat. Sb., 1967, Vol. 74, pp. 357-377. | MR | Zbl
and ,