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Algebraic groups with square-integrable representations
Author:
Nguyen Huu Anh
Journal:
Bull. Amer. Math. Soc. 80 (1974), 539-542
MSC (1970):
Primary 22E45; Secondary 43A80
MathSciNet review:
0340482
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References |
Similar Articles |
Additional Information
- 1.
Nguyên
Huu Anh, Prehomogeneous vector space defined by
a semisimple algebraic group, Bull. Amer. Math.
Soc. 81 (1975),
402–406. MR 0367081
(51 #3323), http://dx.doi.org/10.1090/S0002-9904-1975-13757-8
- 2.
Harish-Chandra,
Discrete series for semisimple Lie groups. II. Explicit determination
of the characters, Acta Math. 116 (1966),
1–111. MR
0219666 (36 #2745)
- 3.
Harish-Chandra,
Invariant eigendistributions on a
semisimple Lie group, Trans. Amer. Math.
Soc. 119 (1965),
457–508. MR 0180631
(31 #4862d), http://dx.doi.org/10.1090/S0002-9947-1965-0180631-0
- 4.
Jacques
Dixmier, Représentations induites holomorphes des groupes
résolubles algébriques, Bull. Soc. Math. France
94 (1966), 181–206 (French). MR 0207911
(34 #7724)
- 5.
George
W. Mackey, Unitary representations of group extensions. I,
Acta Math. 99 (1958), 265–311. MR 0098328
(20 #4789)
- 6.
Joseph
A. Wolf and Calvin
C. Moore, Square-integrable representations of nilpotent
groups, Harmonic analysis on homogeneous spaces (Proc. Sympos. Pure
Math., Vol. XXVI, Williams Coll., Williamstown, Mass., 1972), Amer. Math.
Soc., Providence, R.I., 1973, pp. 239–243. MR 0333072
(48 #11397)
- 7.
L.
Pukánszky, Leçons sur les représentations des
groupes, Monographies de la Société Mathématique
de France, No. 2, Dunod, Paris, 1967 (French). MR 0217220
(36 #311)
- 1.
- N. H. Anh, Prehomogeneous vector space defined by a semi-simple algebraic group, Bull. Amer. Math. Soc. (to appear). MR 367081
- 2.
- Harish-Chandra, The discrete series for semi-simple Lie groups. II. Explicit determination of the characters, Acta Math. 116 (1966), 1-111. MR 36 #2745. MR 219666
- 3.
- Harish-Chandra, Invariant eigendistributions on a semi-simple Lie group, Trans. Amer. Math. Soc. 119 (1965), 457-508. MR 31 #4862d. MR 180631
- 4.
- J. Dixmier, Représentations induites holomorphes des groupes résolubles algébriques, Bull. Soc. Math. France 94 (1966), 181-206. MR 34 #7724. MR 207911
- 5.
- G. W. Mackey, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265-311. MR 20 #4789. MR 98328
- 6.
- J. A. Wolf and C. C. Moore, Square-integrable representations of nilpotent groups, Proc. Sympos. Pure Math., vol. 26, Amer. Math. Soc. Providence, R.I., 1973, pp. 239-244. MR 333072
- 7.
- L. Pukánszky, Leçon sur les représentations des groupes, Monographies de la Société Mathématique de France, no. 2, Dunod, Paris, 1967. MR 36 #311. MR 217220
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13486-5
PII:
S 0002-9904(1974)13486-5
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