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Bibliographie
Bernat, P, et al.,Représentations des groupes de Lie résolubles. Monographies de la S.M.F. (Dunod, Paris 1972).
Borel, A. & Wallach, N.,Continuous cohomology, discrete subgroups and représentations of reductive groups. Annals of Mathematics Studies. Princeton University Press (1980).
Fujiwara, H., Certains opérateurs d’entrelacement pour des groupes de Lie résolubles et leurs applications,Mem. of the Faculty of Science, Kyushu University, Series A, Math., Volume XXXVI N0 1 1982, 13–72.
Fujiwara, H., Lion, G. &Magneron, B., Opérateurs d’entrelacement et calcul d’obstruction sur des groupes de Lie résolubles.Lecture Notes in Math. 880. Springer Verlag, Berlin New-York (1981).
Gross, K., The dual of a parabolic subgroup and a degenerate principal series ofSp(n, C).Amer. J. Math., 93 (1971), 359–428.
Guelfand, I. M. &Chilov, G. E.,Les distributions. Dunod, Paris (1962).
Guillemin, V. &Sternberg, S.,Geometric asymptotics. Math. Surveys, 14. A.M.S. Providence, Rhode Island (1977).
Hecht, H., On characters and asymptotics of representations of a real reductive Lie group.Math. Ann., 242 (1979), 103–126.
Howe, R.,On a notion of rank for unitary representations of the classical groups. C.I.M.E., Cortona (1980).
Joseph, D. W., Representations of the algebra ofSL 3(R) withj=2. Preprint (1969).
Kashiwara, M. &Vergne, M., On the Segal-Shale-Weil representations and harmonic polynomials.Invent. Math., 44 (1978), 1–47.
Knapp, A. &Zuckerman, G.,Classification theorems for representations of semi-simple Lie groups. Lecture Notes in Math., 587. Springer Verlag, Berlin, New York (1977).
Rawnsley, J. &Sternberg, S., On representations associated to the minimal nilpotent coadjoint orbit ofSL 3(R).Amer. J. Math., 104 (1982), 1153–1189.
Schiffmann, G., Intégrales d’entrelacement et fonctions de Whittaker.Bull. Soc. Math. France, 99 (1971), 3–72.
Śijački, S., The unitary irreducible representations of\(\widetilde{SL_3 }(R)\).J. Math. Phys., 16 (1975), 298–311.
Śniatycki, J.,Geometric quantization and quantum mechanics. Applied Mathematical Sciences, 30. Springer Verlag, New York, Heidelberg, Berlin (1980).
Speh, B., The unitary dual ofGL(3,R) andGL(4,R). Preprint (1979).
Warner, G.,Harmonic analysis on semi-simple Lie groups I et II, Springer Verlag, Berlin, Heidelberg, New York (1972).
Weil, A. Sur certains groupes d’opérateurs unitaires.Acta Math., 111 (1965), 143–211.
Wolf, J. A.,Representations associated to minimal coadjoint orbits. Lecture Notes in Math., 676. Springer Verlag, Berlin, New York (1978).
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Torasso, P. Quantification geometrique, operateurs d’entrelacement et representations unitaires de\(\widetilde{SL_3 }(R)\) . Acta Math 150, 153–242 (1983). https://doi.org/10.1007/BF02392971
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DOI: https://doi.org/10.1007/BF02392971