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Dixmier, Jacques

Sur les représentations unitaires des groupes de Lie nilpotents. V. (French) Zbl 0152.01302

Bull. Soc. Math. Fr. 87, 65-79 (1959).
Reviewer: E. Thoma
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0152.01302

Cited in 1 Review
Cited in 14 Documents

MSC:

22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)

Keywords:

nilpotent Lie groups; irreducible unitary representations

Citations:

Zbl 0085.10302; Zbl 0085.10303; Zbl 0100.32401; Zbl 0125.06802
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\textit{J. Dixmier}, Bull. Soc. Math. Fr. 87, 65--79 (1959; Zbl 0152.01302)
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References:

[1] BRUHAT (François) . - Sur les représentations induites des groupes de Lie , Bull. Soc. math. France, t. 84, 1956 , p. 97-205. Numdam | MR 18,907i | Zbl 0074.10303 · Zbl 0074.10303
[2] DIXMIER (Jacques) . - Sur les représentations unitaires des groupes de Lie nilpotents , II., Bull. Soc. math. France, 85, 1957 , p. 325-388. Numdam | MR 20 #1928 | Zbl 0085.10303 · Zbl 0085.10303
[3] DIXMIER (Jacques) . - Sur les représentations unitaires des groupes de Lie nilpotents , IV, Canadian J. of Math. (à paraître). · Zbl 0171.11702
[4] FELL (J. M. G.) . - C*-algebras with smooth dual (à paraître). Zbl 0094.09702 · Zbl 0094.09702
[5] MACKEY (George W.) . - Imprimitivity for representations of locally compact groups , Proc. nat. Acad. Sc. U. S. A., t. 35, 1949 , p. 537-545. MR 11,158b | Zbl 0035.06901 · Zbl 0035.06901
[6] MACKEY (George W.) . - Borel structure in groups and [their duals , Trans. Amer. math. Soc., t. 85, 1957 , p. 134-165. MR 19,752b | Zbl 0082.11201 · Zbl 0082.11201
[7] HARISH-CHANDRA . - Representations of semi-simple Lie groups , III., Trans. Amer. math. Soc., t. 76, 1954 , p. 234-253. MR 16,11e | Zbl 0055.34002 · Zbl 0055.34002
[8] SCHWARTZ (Laurent) . - Espaces de fonctions différentiables à valeurs vectorielles Journal d’Analyse mathématique, t. 4, 1954 - 1955 , p. 88-148. MR 18,220a | Zbl 0066.09601 · Zbl 0066.09601
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