Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Andler, "Sur des représentations construites par la méthode des orbites," C. R. Acad. Sci. Paris, vol. 290 (1980), pp. 873–875.
L. Auslander & B. Kostant, "Polarization and unitary representations of solvable Lie groups," Invent. Math., vol. 14 (1971), pp. 255–354.
P. Bernat et al, Représentations des Groupes de Lie Résolubles, Dunod, Paris, 1972.
J. Charbonnel & M. Khalgui, "Polarisations pour un certain types des groupes de Lie," C. R. Acad. Sci. Paris, vol. 287 (1978), pp. 915–917.
M. Duflo, "Sur les extensions des représentations irréductibles des groupes de Lie nilpotents," Ann. Scient. Éc. Norm. Sup., vol. 5 (1972), pp. 71–120
M. Duflo, "Construction de représentations unitaires d'un groupe de Lie," CIME course, Cortona, 1980, preprint.
H. Fujiwara, G. Lion & B. Magneron, "Operateurs d'entrelacement et calcul d'obstruction sur des groupes de Lie resolubles," Lecture Notes in Math., no. 880, pp. 102–136.
M. Khalgui, "Sur les caratères des groupes de Lie a radical cocompact," Bull. Soc. Math. France, vol. 109 (1981), pp. 331–372; see also "Caractères des groupes de Lie," preprint.
G. Lion, "Integrales d'entrelacement sur des groupes de Lie nilpotents et indices de Maslov," Lecture Notes in Math., no. 587, pp. 160–176.
R. Lipsman, "Characters of Lie groups II: real polarizations and the orbital-integral character formula," J. D'Anal. Math., vol. 31 (1977), pp. 257–286.
R. Lipsman, "Orbit theory and harmonic analysis on Lie groups with co-compact nilradical," J. Math. Pures et Appl., vol. 59 (1980), pp. 337–374.
R. Lipsman, "Orbit theory and representations of Lie groups with co-compact radical, J. Math. Pures et Appl., vol. 60 (1982), pp. 17–39.
R. Lipsman, "Harmonic induction on Lie groups," revised preprint, 1982.
W. Rosmann, "Kirillov's character formula for reductive Lie groups," Invent. Math., vol. 48 (1978), pp. 207–220.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Lipsman, R.L. (1983). On the existence of a generalized weil representation. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1020. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071501
Download citation
DOI: https://doi.org/10.1007/BFb0071501
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12717-8
Online ISBN: 978-3-540-38700-8
eBook Packages: Springer Book Archive