Towards the Kazhdan-Lusztig conjecture

 Access to full text

 Full (PDF)

1. [1] I. N. BERNSTEIN, I. M. GELFAND and S. I. GELFAND, Category of ɡ Modules (Funct. Anal. Priloz., Vol. 10, 1976, pp. 1-8). Zbl0353.18013MR53 #10880
2. [2] I. N. BERNSTEIN and S. I. Gelfand, Tensor Products of Finite and Infinite Dimensional Representations of Semisimple Lie Algebras (Compos. Math., Vol. 41, 1980, pp. 245-285). Zbl0445.17006MR82c:17003
3. [3] N. BOURBAKI, Groupes et algèbres de Lie, Chap. 4-6, Éléments de mathématiques, XXXIV, Hermann, Paris, 1968. 
4. [4] H. CARTAN and S. EILENBERG, Homological Algebra, Princeton, New Jersey, 1976. 
5. [5] P. DELORME, Extensions dans la catégorie ϑ de Bernstein-Gelfand-Gelfand. Applications, preprint, Paris, 1978. 
6. [6] J. DIXMIER, Algèbres enveloppantes, cahiers scientifiques, XXXVII, Gauthier-Villars, Paris, 1974. Zbl0308.17007MR58 #16803a
7. [7] O. GABBER and A. JOSEPH, The Bernstein-Gelfand-Gelfand Resolution and the Duflo Sum Formula (Compos. Math., Vol. 43, 1981, pp. 107-131). Zbl0461.17004MR82k:17009
8. [8] J.-C. JANTZEN, Zur Charackterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren (Math. Z., Vol. 140, 1974, pp. 127-149). Zbl0279.20036MR55 #5756
9. [9] J.-C. JANTZEN, Moduln mit einem höchsten Gewicht, LN 750, Springer-Verlag, Berlin-Heidelberg-New York, 1980. Zbl0426.17001
10. [10] D. A. KAZHDAN and G. LUSZTIG, Representations of Coxeter Groups and Hecke Algebras (Invent. Math., Vol. 53, 1979, pp. 165-184). Zbl0499.20035MR81j:20066
11. [11] D. A. KAZHDAN and G. LUSZTIG, Schubert Varieties and Poincaré Duality, preprint, Harvard, 1979. 
12. [12] D. VOGAN, Irreducible Characters of Semisimple Lie Groups I (Duke Math. J., Vol. 46, 1979, pp. 61-108). Zbl0398.22021MR80g:22016
13. [13] D. VOGAN, Irreducible Characters of Semisimple Lie Groups II. The Kazhdan-Lusztig conjectures (Duke Math. J., Vol. 46, 1979, pp. 805-859). Zbl0421.22008MR81f:22024
14. [14] D. VOGAN, Ordering in the Primitive Spectrum of a Semisimple Lie Algebra (Math. Ann., Vol. 248, 1980, pp. 195-203). Zbl0414.17006MR81k:17006
15. [15] A. A. BEILINSON and I. N. BERNSTEIN, C. R. Acad. Sc. (to appear). 
16. [16] J.-L. BRYLINSKI and M. KASHIWARA, Démonstration de la conjecture de Kazhdan-Lusztig sur les modules de Verma [C. R. Acad. Sc. (to appear)]. Zbl0457.22012
17. [17] J.-L. BRYLINSKI and M. KASHIWARA, Kazhdan-Lusztig Conjecture and Holonomic Systems [Invent. Math. (to appear)]. Zbl0473.22009
18. [18] S. GELFAND and R. MACPHERSON, Verma Modules and Schubert cells, Preprint, I.H.E.S., November 1980. 
19. [19] A. JOSEPH. Goldie Rank in the Enveloping Algebra of a Semisimple Lie Algebra, III [J. Alg. (in the press)]. Zbl0482.17002

1. Olivier Mathieu, Classification of irreducible weight modules
2. Dan Barbasch, Filtrations on Verma modules
3. A. Joseph, On the Demazure character formula
4. Ronald S. Irving, The socle filtration of a Verma module
5. O. Gabber, A. Joseph, On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula
6. Henning Haahr Andersen, Filtrations of cohomology modules for Chevalley groups
7. T. A. Springer, Quelques applications de la cohomologie d'intersection