Action of algebraic groups of automorphisms on the dual of a class of type I groups

L. Pukanszky

Annales scientifiques de l'École Normale Supérieure (1972)

  • Volume: 5, Issue: 3, page 379-395
  • ISSN: 0012-9593

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Pukanszky, L.. "Action of algebraic groups of automorphisms on the dual of a class of type ${\rm I}$ groups." Annales scientifiques de l'École Normale Supérieure 5.3 (1972): 379-395. <http://eudml.org/doc/81900>.

@article{Pukanszky1972,
author = {Pukanszky, L.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {3},
pages = {379-395},
publisher = {Elsevier},
title = {Action of algebraic groups of automorphisms on the dual of a class of type $\{\rm I\}$ groups},
url = {http://eudml.org/doc/81900},
volume = {5},
year = {1972},
}

TY - JOUR
AU - Pukanszky, L.
TI - Action of algebraic groups of automorphisms on the dual of a class of type ${\rm I}$ groups
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1972
PB - Elsevier
VL - 5
IS - 3
SP - 379
EP - 395
LA - eng
UR - http://eudml.org/doc/81900
ER -

References

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  1. [1] L. AUSLANDER and C. C. MOORE, Unitary representations of solvable Lie groups (Memoirs of the American Mathematical Society, No. 62, 1966). Zbl0204.14202MR34 #7723
  2. [2] N. BOURBAKI, Algèbres de Lie (Act. Sci. Ind., n° 1285, Hermann, Paris, 1960). Zbl0199.35203
  3. [3] C. CHEVALLEY, Théorie des groupes de Lie, vol. III, Théorèmes généraux sur les algèbres de Lie (Ibid., n° 1226, Hermann, Paris, 1953). 
  4. [4] J. DIXMIER, Sur les représentations unitaires des groupes de Lie algébriques (Ann. Inst. Fourier, vol. VII, 1957, p. 315-328). Zbl0080.32101MR20 #5820
  5. [5] J. DIXMIER, Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. Zbl0152.32902MR30 #1404
  6. [6] J. DIXMIER, Représentations induites holomorphes des groupes résolubles algébriques (Bull. Soc. math. Fr., vol. 94, 1966, p. 181-206). Zbl0204.44101MR34 #7724
  7. [7] J. DIXMIER, Sur la représentation régulière d'un groupe localement compact connexe (Ann. scient. Éc. Norm. Sup., vol. 2, 1969, p. 423-436). Zbl0186.46304MR41 #5553
  8. [8] M. DUFLO, Sur les extensions des représentations irréductibles des groupes de Lie nilpotents (Ann. scient. Éc. Norm. Sup., vol. 5, 1972, p. 71-120). Zbl0241.22030MR46 #1966
  9. [9] J. GLIMM, Locally compact transformation groups (Trans. Amer. Math. Soc., vol. 101, 1961, p. 124-138). Zbl0119.10802MR25 #146
  10. [10] A. A. KIRILLOV, Characters of unitary representations of Lie groups. Reduction theorems (Functional analysis and its applications, vol. 3, 1969, p. 36-47). Zbl0194.33901MR40 #1538
  11. [11] G. W. MACKEY, Induced representations of locally compact groups I (Ann. Math., vol. 55, 1962, p. 101-139). Zbl0046.11601MR13,434a
  12. [12] L. PUKANSZKY, On the unitary representations of exponential groups (Journal of Functional Analysis, vol. 2, 1968, p. 73-113). Zbl0172.18502MR37 #4205

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