Les endomorphismes k -finis des modules de Whittaker

Aboubeker Zahid

Bulletin de la Société Mathématique de France (1989)

  • Volume: 117, Issue: 4, page 451-477
  • ISSN: 0037-9484

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Zahid, Aboubeker. "Les endomorphismes $k$-finis des modules de Whittaker." Bulletin de la Société Mathématique de France 117.4 (1989): 451-477. <http://eudml.org/doc/87590>.

@article{Zahid1989,
author = {Zahid, Aboubeker},
journal = {Bulletin de la Société Mathématique de France},
keywords = {-finite maps; primitive quotient; enveloping algebra; Whittaker module; Harish-Chandra bimodules},
language = {fre},
number = {4},
pages = {451-477},
publisher = {Société mathématique de France},
title = {Les endomorphismes $k$-finis des modules de Whittaker},
url = {http://eudml.org/doc/87590},
volume = {117},
year = {1989},
}

TY - JOUR
AU - Zahid, Aboubeker
TI - Les endomorphismes $k$-finis des modules de Whittaker
JO - Bulletin de la Société Mathématique de France
PY - 1989
PB - Société mathématique de France
VL - 117
IS - 4
SP - 451
EP - 477
LA - fre
KW - -finite maps; primitive quotient; enveloping algebra; Whittaker module; Harish-Chandra bimodules
UR - http://eudml.org/doc/87590
ER -

References

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  1. [1] BERNSTEIN (J.) and GELFAND (S.I.). — Tensor product of finite and infinite dimensional representations of semi-simple Lie algebras, Compositio Math., t. 41, 1981, p 245-285. Zbl0445.17006MR82c:17003
  2. [2] BOURBAKI (N.). — Groupes et algèbres de Lie, chapitres IV, V, VI. Zbl0483.22001
  3. [3] CONZE (N.). — Algèbres d'opérateurs différentiels et quotients des algèbres enveloppantes, Bull. Soc. Math. France, t. 102, 1974, p 379-415. Zbl0298.17012MR51 #10414
  4. [4] DIXMIER (J.). — Algèbres enveloppantes, Cahiers scientifiques XXXVII. — Gauthiers-Villars, Paris, 1974. Zbl0308.17007MR58 #16803a
  5. [5] DUFLO (M.). — Représentations irréductibles des groupes semi simples complexes, Lecture Notes in Math., t. 497, 1975, p 26-88. Zbl0315.22008MR53 #3198
  6. [6] JANTZEN (J.C.). — Einhüllenden Algebren helbeinfacher Lie-Algebren, Ergebbnisse der Mathematik, Berlin Springer, 1983. Zbl0541.17001
  7. [7] JOSEPH (A.). — On the Gelfand-Kirrillov conjecture, for induced ideals in the semi simple case, Bull. Soc. Math. France, t. 107, 1979, p 139-159. Zbl0407.17004MR80j:17006
  8. [8] JOSEPH (A.). — The minimal orbit in a simple Lie algebra and its assiciated maximal ideal, Ann. Sci. École Norm. Sup. (4), t. 9, 1976, p 1-30. Zbl0346.17008MR53 #8168
  9. [9] JOSEPH (A.). — Kostant's problem and Goldie rank, Lecture Notes in Math., t. 880, 1981, p 249-266. Zbl0468.17004MR83m:17006
  10. [10] JOSEPH (A.) and STAFFORD (J.T.). — Modules of tʹ-finite vectors over semi simple Lie algebras, London Math. Soc. (3), t. 49, 1984, p 361-384. Zbl0543.17004MR86a:17004
  11. [11] KOSTANT (B.). — On Whittaker vectors, and representation theory, Invent. Math., t. 48, 1978, p 101-184. Zbl0405.22013MR80b:22020

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