On the characters of exponential solvable Lie groups

Niels Vigand Pedersen

Annales scientifiques de l'École Normale Supérieure (1984)

  • Volume: 17, Issue: 1, page 1-29
  • ISSN: 0012-9593

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Pedersen, Niels Vigand. "On the characters of exponential solvable Lie groups." Annales scientifiques de l'École Normale Supérieure 17.1 (1984): 1-29. <http://eudml.org/doc/82134>.

@article{Pedersen1984,
author = {Pedersen, Niels Vigand},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {exponential Lie group; Jordan-Hölder sequence; Radon measure; multiplier; G-invariant analytic functions; irreducible representation; orbit; Euclidean Fourier transform; solvable Lie groups; Kirillov character formula},
language = {eng},
number = {1},
pages = {1-29},
publisher = {Elsevier},
title = {On the characters of exponential solvable Lie groups},
url = {http://eudml.org/doc/82134},
volume = {17},
year = {1984},
}

TY - JOUR
AU - Pedersen, Niels Vigand
TI - On the characters of exponential solvable Lie groups
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1984
PB - Elsevier
VL - 17
IS - 1
SP - 1
EP - 29
LA - eng
KW - exponential Lie group; Jordan-Hölder sequence; Radon measure; multiplier; G-invariant analytic functions; irreducible representation; orbit; Euclidean Fourier transform; solvable Lie groups; Kirillov character formula
UR - http://eudml.org/doc/82134
ER -

References

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  1. [1] P. BERNAT, Sur les représentations unitaires des groupes de Lie résolubles (Ann. Sci. École Norm. Sup., Vol. 82, 1965, pp. 37-99). Zbl0138.07302MR33 #2763
  2. [2] P. BERNAT et al., Représentations des groupes de Lie résolubles, Dunod, Paris, 1972. Zbl0248.22012MR56 #3183
  3. [3] J.-Y. CHARBONNEL, Sur les semi-caractères des groupes de Lie résolubles connexes (J. Funct. Anal., Vol. 41, 1981, pp. 175-203). Zbl0471.22010MR83c:22011
  4. [4] M. DUFLO, Caractères des représentations des groupes résolubles associées à une orbite entière, Chap. IX in [2]. 
  5. [5] M. DUFLO, M. RAÏS, Sur l'analyse harmonique sur les groupes de Lie résolubles (Ann. Sci. École Norm. Sup., Vol. 9, 1976, pp. 107-144). Zbl0324.43011MR55 #8254
  6. [6] N. V. PEDERSEN, Semicharacters and solvable Lie groups (Math. Ann., Vol. 247, 1980, pp. 191-244). Zbl0406.22008MR81j:22015
  7. [7] L. PUKANSZKY, Leçons sur les représentations des groupes, Dunod, Paris, 1967. Zbl0152.01201MR36 #311
  8. [8] L. PUKANSZKY, On the characters and the Plancherel formula of nilpotent groups (J. Funct. Anal., Vol. 1, 1967, pp. 255-280). Zbl0165.48603MR37 #4236
  9. [9] L. PUKANSZKY, On the unitary representations of exponential groups (J. Funct. Anal., Vol. 2, 1968, pp. 73-112). Zbl0172.18502MR37 #4205
  10. [10] L. PUKANSZKY, Unitary representations of solvable Lie groups (Ann. Sci. École Norm. Sup., Vol. 4, 1971, pp. 457-608). Zbl0238.22010MR55 #12866
  11. [11] L. PUKANSZKY, Characters of connected Lie groups (Acta Math., Vol. 133, 1974, pp. 81-137). Zbl0323.22011MR53 #13480

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