Les endomorphismes -finis des modules de Whittaker
Bulletin de la Société Mathématique de France (1989)
- Volume: 117, Issue: 4, page 451-477
- ISSN: 0037-9484
Access Full Article
topHow to cite
topReferences
top- [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] BOURBAKI (N.). — Groupes et algèbres de Lie, chapitres IV, V, VI. Zbl0483.22001
- [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] DIXMIER (J.). — Algèbres enveloppantes, Cahiers scientifiques XXXVII. — Gauthiers-Villars, Paris, 1974. Zbl0308.17007MR58 #16803a
- [5] DUFLO (M.). — Représentations irréductibles des groupes semi simples complexes, Lecture Notes in Math., t. 497, 1975, p 26-88. Zbl0315.22008MR53 #3198
- [6] JANTZEN (J.C.). — Einhüllenden Algebren helbeinfacher Lie-Algebren, Ergebbnisse der Mathematik, Berlin Springer, 1983. Zbl0541.17001
- [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] 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] JOSEPH (A.). — Kostant's problem and Goldie rank, Lecture Notes in Math., t. 880, 1981, p 249-266. Zbl0468.17004MR83m:17006
- [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] KOSTANT (B.). — On Whittaker vectors, and representation theory, Invent. Math., t. 48, 1978, p 101-184. Zbl0405.22013MR80b:22020