@article{CM_1980__40_1_35_0, author = {Joseph, A.}, title = {Towards the {Jantzen} conjecture}, journal = {Compositio Mathematica}, pages = {35--67}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {40}, number = {1}, year = {1980}, mrnumber = {558258}, zbl = {0424.17004}, language = {en}, url = {http://archive.numdam.org/item/CM_1980__40_1_35_0/} }
Joseph, A. Towards the Jantzen conjecture. Compositio Mathematica, Volume 40 (1980) no. 1, pp. 35-67. http://archive.numdam.org/item/CM_1980__40_1_35_0/
[1] Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen. Math. Ann., 225 (1977) 177-194. | MR | Zbl
:[2] Definition einer Dixmier-Abbildung für sl(n, C). Invent. Math., 40 (1977) 143-169. | MR | Zbl
:[3] Recent advances in the enveloping algebras of semi-simple Lie algebras. Sém. Bourbaki, n° 489, Nov. 1976. | Numdam | Zbl
:[4] Primideale in Einhüllenden auflösbarer Lie-algebren, Lecture Notes in Mathematics, No. 357, Springer-Verlag, Berlin/Heidelberg /New York, 1973. | MR | Zbl
, and :[5] Über primitive Ideale in der Einhüllenden einer halbeinfacher Lie-algebra. Invent. Math., 39 (1977) 1-53. | MR | Zbl
and :[6] Über die Gelfand-Kirillov-Dimension. Math. Ann., 220 (1976) 1-24. | MR | Zbl
and :[7] Oresche Teilmengen in Einhüllenden Algebren. Math. Ann., 217 (1975) 201-210. | MR | Zbl
and :[8] Algèbres d'operateurs différentiels et quotients des algèbres enveloppantes. Bull. Math. Soc. France, 102 (1974) 379-415. | Numdam | MR | Zbl
:[9] Sur les représentations induites des groupes semi-simple complexes. Compos. Math., 34 (1977) 307-336. | Numdam | MR | Zbl
and :[10] Algèbres enveloppantes, cahiers scientifiques, XXXVII, Gauthier-Villars, Paris, 1974. | MR | Zbl
:[11] Polarisations dans les algèbres de Lie, II, Bull. Soc. Math. France, 104 (1976) 145-164. | Numdam | MR | Zbl
:[12] Représentations irréductibles des groupes semi-simples complexes. Lecture Notes in Mathematics, No. 497, Springer-Verlag, Berlin/ Heidelberg/New York, 1975, pp. 26-88. | MR | Zbl
:[13] Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple. Ann. Math., 105 (1977) 107-130. | MR | Zbl
:[14] Théorie de la représentation linéaire des groupes symétriques. Thèse, Liège, 1950 and Mém. Soc. Roy. Sci. Liège (4) 10 (1950). | MR | Zbl
:[15] Noncommutative Rings. Carus mathematical monographs, No. 15 (1968). | MR | Zbl
:[16] Topics in ring theory. Chicago lecture notes in mathematics, The University of Chicago Press, 1969. | MR | Zbl
:[17] Lie algebras. Interscience tracts in pure and applied mathematics, No. 10, New York (1962). | MR | Zbl
:[18] Kontravariante formen auf induzierte Darstellungen halbeinfacher Lie-algebren. Math. Ann., 226 (1977) 53-65. | MR | Zbl
:[19] Zur Charakterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren. Math. Z. 140 (1974) 127-149. | MR | Zbl
:[20] Moduln mit einem höchsten Gewicht. Habilitationsschrift, Bonn, 1977.
:[21] Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie réductive. Comptes Rendus, A 284 (1977) 425-427. | MR | Zbl
:[22] A characteristic variety for the primitive spectrum of a semisimple Lie algebra, unpublished. (The main results were reported in [21]. A shorter preliminary version appeared in Lecture Notes in Mathematics, No. 587, Springer-Verlag, Berlin/Heidelberg/New York, 1977, pp. 102-118.) | MR | Zbl
:[23] On the annihilators of simple subquotients of the principal series. Ann. Ec. Norm. Sup. 10 (1977) 419-440. | Numdam | MR | Zbl
:[24] A preparation theorem for the prime spectrum of a semisimple Lie algebra. J. of Algebra, 48 (1977) 241-289. | MR | Zbl
:[25] Gelfand-Kirillov dimension for the annihilators of simple quotients of Verma modules. J. Lond. Math. Soc. 18 (1978) 50-60. | MR | Zbl
:[26] Gelfand-Kirillov conjecture for induced ideals in the semisimple case. Bull. Math. Soc. France (In the press). | Numdam | Zbl
:[27] Permutations, matrices and generalized Young tableaux. Pac. J. Math., 34 (1970) 709-727. | MR | Zbl
:[28] Thèse, Paris VII, 1977.
:[29] Uniqueness of embeddings of certain induced modules. Proc. Amer. Math. Soc., 56 (1976) 55-58. | MR | Zbl
:[30] Conjugacy classes in parabolic subgroups of semisimple algebraic groups. Bull. London Math. Soc., 6 (1974) 21-24. | MR | Zbl
:[31] Longest increasing and decreasing subsequences. Canad. J. Math., 13 (1961) 179-191. | MR | Zbl
:[32] Algèbre Locale Multiplicités. Lecture notes in mathematics, No. 11, Springer-Verlag, Berlin/Heidelberg/ New York, 1965. | MR | Zbl
:[33] Die irreduziblen Darstellungen der symmetrischen Gruppe. Math. Z., 39 (1935) 696-711. | JFM | MR | Zbl
:[34] Tensor products of finite and infinite dimensional representations of semisimple Lie groups, preprint, 1977. | MR | Zbl
:[35] A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups. Invent. Math., 41 (1977) 113-127. | MR | Zbl
and :[36] Primitive ideals in the enveloping algebras of sl(3) and sp(4), unpublished.
:[37] Some irreducible representations of the Weyl groups, Bull. London Math. Soc., 4 (1972) 148-150. | MR | Zbl
:[38] Trigonometric sums, Green functions of finite groups and representations of Weyl groups. Invent Math., 36 (1976) 173-207. | MR | Zbl
:[39] An additivity principle for Goldie rank. Israel J. Math. 31 (1978) 105-114. | MR | Zbl
and :[40] Gelfand-Kirillov dimension for Harish-Chandra modules, Invent. 48 (1978) 75-98. | MR | Zbl
:[41] Some numerical results on the characters of exceptional Weyl groups, preprint, Warwick, 1978. | MR | Zbl
and :[42] Some questions in the theory of invariants (In Russian), Mat. Sb. 72 (1967) 420-435. | MR | Zbl
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