Basic covariant differential operators on hermitian symmetric spaces
Jakobsen, Hans Plesner
Annales scientifiques de l'École Normale Supérieure, Tome 18 (1985), p. 421-436 / Harvested from Numdam
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@article{ASENS_1985_4_18_3_421_0,
     author = {Jakobsen, Hans Plesner},
     title = {Basic covariant differential operators on hermitian symmetric spaces},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {18},
     year = {1985},
     pages = {421-436},
     doi = {10.24033/asens.1494},
     mrnumber = {87h:22022},
     zbl = {0619.32022},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1985_4_18_3_421_0}
}

Jakobsen, Hans Plesner. Basic covariant differential operators on hermitian symmetric spaces. Annales scientifiques de l'École Normale Supérieure, Tome 18 (1985) pp. 421-436. doi : 10.24033/asens.1494. http://gdmltest.u-ga.fr/item/ASENS_1985_4_18_3_421_0/

[1] I. N. Bernstein, I. M. Gelfand and S. I. Gelfand, Differential Operators on the Base Affine Space and a Study of g-Modules, in Lie Groups and Their Representations, I. M. GELFAND, Ed., Adam Hilger, London, 1975. | MR 58 #28285 | Zbl 0338.58019

[2] B. D. Boe, Homomorphisms between Generalized Verma Modules (Dissertation, Yale University, 1982).

[3] B. D. Boe and D. H. Collingwood, A Comparison Theory for the Structure of Induced Representations, Preprint, 1983.

[4] V. V. Deodhar, Some Characterizations of the Bruhat Ordering on a Coxeter Group and Characterization of the Relative Möbius Function (Invent. Math., Vol. 39, 1977, pp. 187-198.). | MR 435249 | Zbl 0346.20032

[5] M. Harris and H. P. Jakobsen, Singular Holomorphic Representations and Singular Modular Forms (Math. Ann., vol. 259, 1982, pp. 227-244. | MR 656663 | Zbl 0466.32017

[6] M. Harris and H. P. Jakobsen, Covariant Differential Operators, in Group Theoretical Methods in Physics (Proceedings, Istanbul, 1982, Lecture Notes in Physics, Vol. 180, Springer, Berlin-Heidelberg-New York-Tokyo, 1983.). | MR 724940 | Zbl 0529.22015

[7] H. P. Jakobsen and M. Vergne, Wave and Dirac Operators and Representations of the Conformal Group (J. Funct. Anal., Vol. 24, 1977, pp. 52-106). | MR 439995 | Zbl 0361.22012

[8] H. P. Jakobsen and M. Vergne, Restrictions and Expansions of Holomorphic Representations (J. Funct. Anal., Vol. 34, 1979, pp. 29-53). | MR 551108 | Zbl 0433.22011

[9] H. P. Jakobsen, Intertwining Differential Operators for Mp(n, ℝ) and SU (n, n) (Trans. Amer. Math. Soc., Vol. 246, 1978, pp. 311-337). | MR 515541 | Zbl 0403.22010

[10] H. P. Jakobsen, The Last Possible Place of Unitarity for Certain Highest Weight Modules (Math. Ann., Vol. 256, 1981, pp. 439-447). | MR 628225 | Zbl 0478.22007

[11] H. P. Jakobsen, Hermitian Symmetric Spaces and their Unitary Highest Weight Modules (J. Funct. Anal., Vol. 52, 1983, pp. 385-412). | MR 712588 | Zbl 0517.22014

[12] G. D. James, The Representation Theory of the Symmetric Groups (Lecture Notes in Math., Vol. 682, Springer ; Berlin-Heidelberg-New York, 1978). | Zbl 0393.20009

[13] J. Lepowsky, A Generalization of the Bernstein-Gelfand-Gelfand Resolution (J. Alg., Vol. 49, 1977, pp. 496-511). | MR 476813 | Zbl 0381.17006

[14] J. Lepowsky, Conical Vectors in Induced Modules (Trans. Amer. Math. Soc., Vol. 208, 1975, pp. 219-272). | MR 376786 | Zbl 0311.17002

[15] J. Lepowsky, Existence of Conical Vectors in Induced Modules (Ann. of Math., Vol. 102, 1975, pp. 17-40). | MR 379613 | Zbl 0314.17006

[16] J. Lepowsky, On the Uniqueness of Conical Vectors (Proc. Amer. Math. Soc., Vol. 57, 1976, pp. 217-220). | MR 409576 | Zbl 0342.17005

[17] J. Lepowsky, Uniqueness of Embeddings of Certain Induced Modules (Proc. Amer. Math. Soc., Vol. 56, 1976, pp. 55-58). | MR 399195 | Zbl 0335.17004

[18] H. Rossi and M. Vergne, Analytic Continuation of the Holomorphic Discrete Series of a Semi-Simple Lie Group (Acta Math., Vol. 136, 1976, pp. 1-59). | MR 480883 | Zbl 0356.32020

[19] W. Schmid, Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Röumen (Invent. Math., Vol. 9, 1969, pp. 61-80). | MR 259164 | Zbl 0219.32013

[20] D. Vogan, Representations of Real Reductive Lie Groups, Birkhöuser ; Boston-Basel-Stuttgart, 1981. | MR 632407 | Zbl 0469.22012

[21] N. Wallach, Analytic Continuation of the Discrete Series II (Trans. Amer. Math. Soc., Vol. 251, 1979, pp. 19-37). | MR 531967 | Zbl 0419.22018

[22] B. Ørsted, Composition Series for Analytic Continuations of Holomorphic Discrete Series Representations of SU (n, n) (Trans. Amer. Math. Soc., Vol. 260, 1980, pp. 563-573). | Zbl 0439.22017