@article{ASENS_1988_4_21_1_47_0,
author = {Irving, Ronald S.},
title = {The socle filtration of a Verma module},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {21},
year = {1988},
pages = {47-65},
doi = {10.24033/asens.1550},
mrnumber = {89h:17015},
zbl = {0706.17006},
language = {en},
url = {http://dml.mathdoc.fr/item/ASENS_1988_4_21_1_47_0}
}
Irving, Ronald S. The socle filtration of a Verma module. Annales scientifiques de l'École Normale Supérieure, Tome 21 (1988) pp. 47-65. doi : 10.24033/asens.1550. http://gdmltest.u-ga.fr/item/ASENS_1988_4_21_1_47_0/
[1] , Filtrations on Verma Modules (Ann. Scient. Éc. Norm. Sup., Vol. 16, 1983, pp. 489-494). | Numdam | MR 85j:17013 | Zbl 0581.17002
[2] , Localization of Representations of Reductive Lie Algebras (Proc. of the I.C.M., 1983, Warsaw, North Holland 1984, pp. 699-710). | MR 86m:17007 | Zbl 0571.20032
[3] and , Localisation de g-modules (C.R. Acad. Sci. Paris, T. 292, 1981, pp. 15-18). | MR 82k:14015 | Zbl 0476.14019
[4] , and , Analyse et topologie sur les espaces singuliers I, (Astérisque, Vol. 100, Soc. Math. de France, 1982). | MR 86g:32015
[5] and , Mixed Categories, Ext-Duality and Representations (Results and Conjectures), preprint, 1986.
[6] and , Kazhdan-Lusztig Conjecture and Holonomic Systems, (Invent. Mat., Vol. 64, 1981, pp. 387-410). | MR 83e:22020 | Zbl 0473.22009
[7] , Graded Characters of Induced Representations for Real Reductive Lie Groups, preprint, 1987.
[8] and , The Kazhdan-Lusztig Conjecture for Generalized Verma Modules (Math. Z., Vol. 195, 1987, pp. 581-600). | MR 88i:17008 | Zbl 0624.22010
[9] , On the Kazhdan-Lusztig Conjectures (Indag. Math., Vol. 85, 1982, pp. 1-17). | MR 83e:17008 | Zbl 0486.17004
[10] and , Towards the Kazhdan-Lusztig Conjecture (Ann. Scient. Éc. Norm. Sup., Vol. 14, 1981, pp. 261-302). | Numdam | MR 83e:17009 | Zbl 0476.17005
[11] and , Verma Modules and Schubert Cells : a Dictionary (Séminaire d'Algèbre, 1980-1981, Springer Lecture Notes # 924). | MR 84h:17004 | Zbl 0512.22009
[12] , Projective Modules in the Category Os : Self-Duality (Trans. Amer. Math. Soc., Vol. 291, 1985, pp. 701-732). | MR 87i:17005 | Zbl 0594.17005
[13] , Projective Modules in the Category Os : Loewy Series (Trans. Amer. Math. Soc., Vol. 291, 1985, pp. 733-754). | MR 87h:17007 | Zbl 0594.17005
[14] , B.G.G. algebras (in preparation).
[15] , Goldie Rank in the Enveloping Algebra of a Semisimple Lie Algebra, III (J. Algebra, Vol. 73, 1981, pp. 295-326). | MR 83k:17010 | Zbl 0482.17002
[16] and , Representations of Coxeter Groups and Hecke Algebras (Invent. Math., Vol. 53, 1979, pp. 165-184). | MR 81j:20066 | Zbl 0499.20035
[17] and , Schubert Varieties and Poincaré Duality (Proc. Sympos. Pure Math., Vol. 36, Amer. Mat. Soc., Providence, R.I., 1980, pp. 185-203). | MR 84g:14054 | Zbl 0461.14015
[18] , Finite Group Algebras and their Modules, Cambridge U. Press, Cambridge, 1983. | MR 85h:20002 | Zbl 0523.20001
[19] , Characters of Reductive Groups Over a Finite Field (Annals of Mathematics Studies, # 107, Princeton U. Press, Princeton, N.J., 1984). | MR 86j:20038 | Zbl 0556.20033
[20] , Irreducible Characters of Semisimple Lie Groups I (Duke Math. J., Vol. 46, 1979, pp. 61-108). | MR 80g:22016 | Zbl 0398.22021
[21] , Irreducible Characters of Semisimple Lie Groups II. The Kazhdan-Lusztig Conjectures (Duke Math. J., Vol. 46, 1979, pp. 805-859). | MR 81f:22024 | Zbl 0421.22008