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Dixmier, Jacques

Sur les représentations unitaires des groupes de Lie algébriques. (French) Zbl 0080.32101

Ann. Inst. Fourier 7, 315-328 (1957).
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Cited in 24 Documents

MathOverflow Questions:

Which p-adic algebraic groups are type I?

Keywords:

Functional Analysis; Abstract Spaces
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\textit{J. Dixmier}, Ann. Inst. Fourier 7, 315--328 (1957; Zbl 0080.32101)
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References:

[1] V. BARGMANN, On unitary ray representations of continuous groups, Ann. of Math., 59 (1954), p. 1-46. · Zbl 0055.10304
[2] C. CHEVALLEY, Théorie des groupes de Lie, t. II, Act. Sc. Ind., n° 1152, Paris, Hermann, 1951. · Zbl 0054.01303
[3] C. CHEVALLEY, Théorie des groupes de Lie, t. III, Act. sc. Ind., n° 1226, Paris, Hermann, 1955.
[4] C. CHEVALLEY, à paraître.
[5] J. DIXMIER, LES algèbres d’opérateurs dans l’espace hilbertien, Cahiers scientifiques, n° XXV, Paris, Gauthier-Villars, 1957. · Zbl 0088.32304
[6] J. DIXMIER, Sur LES représentations unitaires des groupes de Lie nilpotents, à paraître au Journ. de Math. · Zbl 0171.11702
[7] HARISH-CHANDRA, Representations of a semi-simple Lie group on a Banach space I, Trans. Amer. Math. Soc., 75 (1953), p. 185-243. · Zbl 0051.34002
[8] G. W. MACKEY, Imprimitivity for representations of locally compact groups I, Proc. Nat. Acad. Sc. U.S.A., 95 (1949), p. 537-545. · Zbl 0035.06901
[9] G. W. MACKEY, Induced representations of locally compact groups I, Ann. of Math., 55 (1952), p. 101-139. · Zbl 0046.11601
[10] G. W. MACKEY, The theory of group representations, cours miméographié, Université de Chicago, 1955.
[11] F. I. MAUTNER, Unitary representations of locally compact groups I, Ann. of Math., 51 (1950), p. 1-25. · Zbl 0035.29802
[12] J. VON NEUMANN, Die eindeutigkeit der schrödingerschen operatoren, Mathematische Annalen, 104 (1931), p. 570-578. · JFM 57.1446.01
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