References
E. Andreev and V. Popov,Stationary subgroups of points in general position in the representation space of a semisimple Lie group. Functional Anal. Appl.5 (1971), 265–271.
L. Auslander and B. Kostan,Polarization and unitary representations of solvable Lie groups, Invent. Math.14 (1971), 255–354.
P. Bernat et al.,Représentations des Groupes de Lie Résolubles, Dunod, Paris, 1972.
J. Dixmier, M. Duflo and M. Vergne,Sur la représentation coadjointe d'une algèbre de Lie, Compositio Math.29 (1974), 309–323.
M. Duflo,Caractères des groupes et des algèbres de Lie résolubles, Ann. Sci. École Norm. Sup.3 (1970), 23–74.
M. Duflo,Fundamental series representations of a semisimple Lie group, Functional Anal. Appl.4 (1970), 122–126.
S. Helgason,Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962.
Harish-Chandra,A formula for semisimple Lie groups, Amer. J. Math.79 (1957), 733–760.
Harish-Chandra,Discrete series for semisimple Lie groups II, Acta Math.116 (1966), 1–111.
A. Kirillov,Unitary representations of nilpotent Lie groups, Russian Math. Surveys17 (1962), 53–104.
A. Kirillov,The characters of unitary representations of Lie groups, Functional Anal. Appl.2 (1968), 90–93, 133–146;3 (1969), 29–38.
A. Kleppner and R. Lipsman,The Plancherel formula for group extensions, Ann. Sci. École Norm. Sup.5 (1972), 71–120.
R. Lipsman,Algebraic transformation groups and representation theory, Math. Ann.214 (1975), 149–157.
R. Lipsman,The CCR property for algebraic groups, Amer. J. Math.97 (1975), 741–752.
R. Lipsman,A direct proof of the Kirillov character formula for nilpotent groups, Duke Math. J.42 (1975), 225–229.
R. Lipsman,On the character theory of Lie groups.
R. L. Lipsman,Characters of Lie groups: traceability and certain semidirect products, Israel J. Math.24 (1976), 45–58.
G. Mackey,Unitary representations of group extensions I, Acta Math.99 (1958), 265–311.
L. Pukanszky,On the characters and the Plancherel formula of nilpotent groups, J. Functional Analysis1 (1967), 255–280.
L. Pukanszky,On the unitary representations of exponential groups, J. Functional Analysis2 (1968), 73–113.
L. Pukanszky,Characters of algebraic solvable groups, J. Functional Analysis3 (1969), 435–491.
R. Richardson,Principal orbit types for algebraic transformation spaces in characteristic zero, Invent. Math.16 (1972), 6–14.
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Supported by the NSF (through GP-33039) and by a NATO fellowship.
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Lipsman, R.L. Characters of lie groups II: Real polarizations and the orbital-integral character formula. J. Anal. Math. 31, 257–286 (1977). https://doi.org/10.1007/BF02813305
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DOI: https://doi.org/10.1007/BF02813305