Représentations unitaires des groupes de Lie résolubles

Michèle Vergne

Séminaire Bourbaki (1973-1974)

  • Volume: 16, page 205-226
  • ISSN: 0303-1179

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Vergne, Michèle. "Représentations unitaires des groupes de Lie résolubles." Séminaire Bourbaki 16 (1973-1974): 205-226. <http://eudml.org/doc/109850>.

@article{Vergne1973-1974,
author = {Vergne, Michèle},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {205-226},
publisher = {Springer-Verlag},
title = {Représentations unitaires des groupes de Lie résolubles},
url = {http://eudml.org/doc/109850},
volume = {16},
year = {1973-1974},
}

TY - JOUR
AU - Vergne, Michèle
TI - Représentations unitaires des groupes de Lie résolubles
JO - Séminaire Bourbaki
PY - 1973-1974
PB - Springer-Verlag
VL - 16
SP - 205
EP - 226
LA - fre
UR - http://eudml.org/doc/109850
ER -

References

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  1. [1] L. Auslander - B. Kostant - Polarization and unitary representations of solvable Lie groups, Invent. Math., vol. 14 (1971), p. 255-354. Zbl0233.22005MR293012
  2. [2] L. Auslander - C.C. Moore - Unitary representations of solvable Lie groups, Memoirs of the A.M.S., n° 62, 1966. Zbl0204.14202MR207910
  3. [3] V. Bargmann - On a Hilbert space of analytic functions and an associated integral transform I, Comm. on Pure and Applied Maths., vol. 14 (1961), p. 187-214. Zbl0107.09102MR157250
  4. [4] P. Bernat et co-auteurs - Représentations des groupes de Lie Résolubles, Dunod, Paris, 1972. Zbl0248.22012MR444836
  5. [5] J. Brezin - Unitary representations theory for solvable Lie groups, Memoirs of the A.M.S., n° 79, 1968. Zbl0157.36603MR227311
  6. [7] I. Brown - Dual topology of a Nilpotent Lie group, Annales Scient. de l' E.N.S., 6 (1973), p. Zbl0284.57026MR352326
  7. [8] J. Dixmier - Représentations induites holomorphes des groupes résolubles algébriques, Bull. Soc. Math. de France, vol. 94 (1966), p. 181-206. Zbl0204.44101MR207911
  8. [9] J. Dixmier - Sur le revêtement universel d'un groupe de Lie de type I, C.R. Acad. Sc., Paris, vol. 252 (1961), p. 2805-2806. Zbl0116.02301MR133407
  9. [10] M. Duflo - Sur les extensions des représentations irréductibles des groupes de Lie nilpotents, Annales Scient. de l'E.N.S., 5 (1972), p. 71-120. Zbl0241.22030MR302823
  10. [11] E. Effros - Transformation groups and C*-algebras, Annals of Math., 81 (1965), p. 38-55. Zbl0152.33203MR174987
  11. [12] A.A. Kirillov - Unitary representations of nilpotent Lie groups, Uspekhi Mat. Nauk, 17 (1962), p. 57-110. Zbl0106.25001MR142001
  12. [13] C.C. Moore - Representations of solvable and nilpotent groups, Proc. of the Williamstown conference on harmonic analysis, 1972. Zbl0292.22015
  13. [14] L. Pukanszky - On unitary representations of exponential groups, Journ. of Functional Analysis, vol. 3 (1969), p. 73-113. Zbl0172.18502MR228625
  14. [15] L. Pukanszky - Unitary representations of solvable Lie groups, Annales Scient. de l'E.N.S., 4 (1971), p. 464-608. Zbl0238.22010MR439985
  15. [16] L. Pukanszky - The primitive Ideal space of solvable Lie groups, Invent. Math., 22 (1973), p. 74-118. Zbl0294.22009MR333078
  16. [17] L. Pukanszky - Characters of connected Lie groups, preprint, (to appear) Bull. A.M.S. Zbl0293.22025
  17. [18] S. Quint - Representations of solvable Lie groups, Lecture Notes, Univ. of California, Berkeley, 1972. Zbl0347.22002
  18. [19] I. Segal - Mathematical characterization of the physical vacuum for a linear Bose-Einstein field, Illinois J. of Math., 6 (1962), p. 500-523. Zbl0106.42804MR143519
  19. [20] R.F. Streater - The representations of the oscillator group, Comm. in Mathematical Physics, vol. 4 (1967), p. 217-236. Zbl0155.32503MR207908

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