On the unitary dual of some classical Lie groups
Compositio Mathematica, Volume 68 (1988) no. 3, pp. 251-303.
@article{CM_1988__68_3_251_0,
author = {Salamanca Riba, Susana},
title = {On the unitary dual of some classical {Lie} groups},
journal = {Compositio Mathematica},
pages = {251--303},
volume = {68},
number = {3},
year = {1988},
zbl = {0692.22007},
mrnumber = {971329},
language = {en},
url = {http://www.numdam.org/item/CM_1988__68_3_251_0/}
}
TY  - JOUR
AU  - Salamanca Riba, Susana
TI  - On the unitary dual of some classical Lie groups
JO  - Compositio Mathematica
PY  - 1988
DA  - 1988///
SP  - 251
EP  - 303
VL  - 68
IS  - 3
UR  - http://www.numdam.org/item/CM_1988__68_3_251_0/
UR  - https://zbmath.org/?q=an%3A0692.22007
UR  - https://www.ams.org/mathscinet-getitem?mr=971329
LA  - en
ID  - CM_1988__68_3_251_0
ER  - 
%0 Journal Article
%A Salamanca Riba, Susana
%T On the unitary dual of some classical Lie groups
%J Compositio Mathematica
%D 1988
%P 251-303
%V 68
%N 3
%G en
%F CM_1988__68_3_251_0
Salamanca Riba, Susana. On the unitary dual of some classical Lie groups. Compositio Mathematica, Volume 68 (1988) no. 3, pp. 251-303. http://www.numdam.org/item/CM_1988__68_3_251_0/

J. Adams: Discrete spectrum of the dual pair (0(p, q), Sp(2m)). Invent. Math. 74 (1983) 449-475. | MR | Zbl

J. Adams: Unitary highest weight modules. Advances in Math. 63 (1987) 113-137. | MR | Zbl

J. Arthur: On some problems suggested by the trace formula. SLN 1041 (1984) 1-50. | MR | Zbl

M.W. Baldoni Silva and D. Barbasch: The unitary spectrum for real rank one groups. Invent. Math. 72 (1983) 27-55. | MR | Zbl

D. Barbasch: Unipotent representations for complex semisimple groups II. Preprint (1987). | MR

D. Barbasch and D. Vogan: Unipotent representations for complex semisimple groups. Ann. Math. 121 (1985) 41-110. | MR | Zbl

A. Borel and N. Wallach: Continuous cohomology, discrete subgroups and representations of reductive groups. Annals of Mathematics Studies Vol. 94. Princeton University Press (1980). | MR | Zbl

J. Dixmier: Enveloping Algebras. North Holland Publishing Co., Amsterdam, N.Y., Oxford (1977). | MR | Zbl

M. Duflo and M. Vergne: Sur le foncteur de Zuckerman. C.R. Acad. Sci. Paris, t. 304 Serie I, no. 16 (1987) pp. 467-469. | MR | Zbl

T.J. Enright: Relative Lie algebra cohomology and unitary representations of complex Lie groups. Duke Math. J. 46 (1979) 513-525. | MR | Zbl

T.J. Enright: Unitary representations for two real forms of a semisimple Lie algebra: a theory of comparison. In: Proc. Special Year in Harmonic Analysis, University of Maryland Lecture Notes in Math. Vol. 1024 (1984) pp. 1-29. Springer-Verlag, Berlin-Heidelberg -New York-Tokyo. | MR | Zbl

T.J. Enright and N.R. Wallach: Notes on homological algebra and representations of Lie algebras. Duke Math. J. 47 (1980) 1-15. | MR | Zbl

Harish-Chandra: Representations of semisimple Lie groups I. Trans. AMS 75 (1953) 185-243. | MR | Zbl

A.W. Knapp and D.A. Vogan Jr: Cohomological induction and unitary representations, Preprint.

A. Knapp and G. Zuckerman: Classification theorems for representations of semisimple Lie groups. In: Non-Commutative Harmonic Analysis. Lecture Notes in Math. Vol. 587 (1976) pp. 138-159. | MR | Zbl

R. Langlands: (1973) On the classification of irreducible representations of real algebraic groups. Mimeographed notes, Institute for Advanced Study (1973).

S. Salamanca Riba: On unitary representations with regular infinitesimal character. Thesis dissertation, Massachusetts Institute of Technology, Cambridge, Massachusetts (1986).

W. Schmid: On the characters of discrete series (the Hermitian symmetric case). Inventiones Math. 30 (1975) 47-144. | MR | Zbl

B. Speh: Unitary representations of SL(n, R) and the cohomology of congruence subgroups. In: J. Carmona and M. Vergne (Eds.) Non-Commutative Harmonic Analysis and Lie groups. Lecture Notes in Math. Vol. 880 (1981) pp. 483-505. | MR | Zbl

B. Speh and D. Vogan: Reducibility of generalized principal series representations. Acta Math. 145 (1980) 227-229. | MR | Zbl

D. Vogan: The algebraic structure of the representations of semisimple Lie groups I. Ann. Math. 109 (1979) 1-60. | MR | Zbl

D. Vogan: Representations of Real Reductive Lie Groups. Birkhauser, Boston-Basel- Stuttgart (1981). | MR | Zbl

D. Vogan: Unitarizability of certain series of representations. Annals Math. 120 (1984) 141-187. | MR | Zbl

D. Vogan: The unitary dual of GL(n) over an Archimedian field. Inv. Math. 83 (1986) 449-505. | MR | Zbl

D. Vogan and G. Zuckerman: Unitary representations with non-zero cohomology. Compositio Mathematica 53 (1984) 51-90. | Numdam | MR | Zbl

D. Wigner: Sur l'homologic relative des algèbres de Lie et une conjecture de Zuckerman. C.R. Acad. Sci. Paris, t 305, Série I (1987) pp. 59-62. | MR | Zbl

G. Zuckerman: On construction of representations by derived factors. Handwritten Notes (1977).