@article{CM_1981__43_1_107_0, author = {Gabber, O. and Joseph, A.}, title = {On the {Bernstein-Gelfand-Gelfand} resolution and the {Duflo} sum formula}, journal = {Compositio Mathematica}, pages = {107--131}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {43}, number = {1}, year = {1981}, mrnumber = {631430}, zbl = {0461.17004}, language = {en}, url = {http://www.numdam.org/item/CM_1981__43_1_107_0/} }
TY - JOUR AU - Gabber, O. AU - Joseph, A. TI - On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula JO - Compositio Mathematica PY - 1981 SP - 107 EP - 131 VL - 43 IS - 1 PB - Sijthoff et Noordhoff International Publishers UR - http://www.numdam.org/item/CM_1981__43_1_107_0/ LA - en ID - CM_1981__43_1_107_0 ER -
%0 Journal Article %A Gabber, O. %A Joseph, A. %T On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula %J Compositio Mathematica %D 1981 %P 107-131 %V 43 %N 1 %I Sijthoff et Noordhoff International Publishers %U http://www.numdam.org/item/CM_1981__43_1_107_0/ %G en %F CM_1981__43_1_107_0
Gabber, O.; Joseph, A. On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Compositio Mathematica, Tome 43 (1981) no. 1, pp. 107-131. http://www.numdam.org/item/CM_1981__43_1_107_0/
[1] Category of g modules, Funct. Anal. Priloz., 10 (1976) 1-18. | Zbl
, and :[2] Differential operators on the base affine space and a study of g modules, In Lie groups and their representations; proceedings, Bolyai János Math. Soc., Budapest, 1971. Ed. I.M. Gelfand, London, Hilger, 1975.]. | Zbl
, and :[3] Tensor products of finite and infinite dimensional representations of semisimple Lie algebras. Compos. Math., 41 (1980) 245-285. | Numdam | MR | Zbl
and :[4] Über primitive Ideale in der Einhüllenden einer halbeinfacher Lie-Algebra. Invent. Math., 39 (1977) 1-53. | MR | Zbl
and :[5] Sur les représentations induites des groupes semi-simples complexes. Compos. Math., 34 (1977) 307-336. | Numdam | MR | Zbl
and :[6] Extensions dans la cátegorie O de Bernstein-Gelfand-Gelfand. Applications, preprint, Paris, 1977.
:[7] Algèbres enveloppantes. Cahiers scientifiques, XXXVII, Gauthier-Villars, Paris, 1974. | MR | Zbl
:[8] Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple. Ann. Math., 105 (1977) 107-120. | MR | Zbl
:[9] Representations irréductibles des groupes semi-simples complexes, in LN 497, Springer-Verlag, Berlin/ Heidelberg/New York, 1975, pp. 26-88. | MR | Zbl
:[10] Towards the Kazhdan-Lusztig conjecture. Ann. Ec. Norm. Sup. (in the press). | Numdam | Zbl
and :[11] Moduln mit einem höchten Gewicht, LN 750, Springer-Verlag, Berlin/Heidelberg /New York, 1979. | MR | Zbl
:[12] On the annihilators of the simple subquotients of the principal series. Ann. Ec. Norm. Sup., 10 (1977) 419-440. | Numdam | MR | Zbl
:[13] Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture. Invent. Math., 56 (1980) 191-213. | MR | Zbl
:[14] Dixmier's problem for Verma and principal series submodules. J. Lond. Math. Soc., 20 (1979) 193-204. | MR | Zbl
:[15] Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, J. Alg., 66 (1980) 269-283. | MR | Zbl
:[16] Towards the Jantzen conjecture. Compos. Math., 40 (1980) 35-67. | Numdam | MR | Zbl
:[17] Gelfand-Kirillov dimension for the annihilators of simple quotients of Verma modules. J. Lond. Math. Soc., 18 (1978) 50-60. | MR | Zbl
:[18] An additivity principle for Goldie rank. Israel J. Math., 31 (1978) 105-114. | MR | Zbl
and :[19] Representations of Coxeter groups and Hecke algebras. Invent. Math., 53 (1979) 165-184. | MR | Zbl
and :[20] A generalization of the Bernstein-Gelfand-Gelfand resolution, J. Alg, 49 (1977) 496-511. | MR | Zbl
:[21] On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra. Funct. Anal. Priloz, 6 (1972) 307-311. | Zbl
:[22] Irreducible characters of semisimple Lie groups I. Duke Math. J., 46 (1979) 61-108. | MR | Zbl
:[23] Irreducible characters of semisimple Lie groups II. The Kazdhan-Lusztig conjectures, preprint, M.I.T. 1979. | MR | Zbl
:[24] Ordering in the primitive spectrum of a semisimple Lie algebra. Math. Ann., 248 (1980) 195-203. | MR | Zbl
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