@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}, pages = {47--65}, publisher = {Elsevier}, volume = {Ser. 4, 21}, number = {1}, year = {1988}, doi = {10.24033/asens.1550}, mrnumber = {89h:17015}, zbl = {0706.17006}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1550/} }
TY - JOUR AU - Irving, Ronald S. TI - The socle filtration of a Verma module JO - Annales scientifiques de l'École Normale Supérieure PY - 1988 SP - 47 EP - 65 VL - 21 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1550/ DO - 10.24033/asens.1550 LA - en ID - ASENS_1988_4_21_1_47_0 ER -
Irving, Ronald S. The socle filtration of a Verma module. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 21 (1988) no. 1, pp. 47-65. doi : 10.24033/asens.1550. http://www.numdam.org/articles/10.24033/asens.1550/
[1] Filtrations on Verma Modules (Ann. Scient. Éc. Norm. Sup., Vol. 16, 1983, pp. 489-494). | Numdam | MR | Zbl
,[2] Localization of Representations of Reductive Lie Algebras (Proc. of the I.C.M., 1983, Warsaw, North Holland 1984, pp. 699-710). | MR | Zbl
,[3] Localisation de g-modules (C.R. Acad. Sci. Paris, T. 292, 1981, pp. 15-18). | MR | Zbl
and ,[4] Analyse et topologie sur les espaces singuliers I, (Astérisque, Vol. 100, Soc. Math. de France, 1982). | MR
, and ,[5] Mixed Categories, Ext-Duality and Representations (Results and Conjectures), preprint, 1986.
and ,[6] Kazhdan-Lusztig Conjecture and Holonomic Systems, (Invent. Mat., Vol. 64, 1981, pp. 387-410). | MR | Zbl
and ,[7] Graded Characters of Induced Representations for Real Reductive Lie Groups, preprint, 1987.
,[8] The Kazhdan-Lusztig Conjecture for Generalized Verma Modules (Math. Z., Vol. 195, 1987, pp. 581-600). | MR | Zbl
and ,[9] On the Kazhdan-Lusztig Conjectures (Indag. Math., Vol. 85, 1982, pp. 1-17). | MR | Zbl
,[10] Towards the Kazhdan-Lusztig Conjecture (Ann. Scient. Éc. Norm. Sup., Vol. 14, 1981, pp. 261-302). | Numdam | MR | Zbl
and ,[11] Verma Modules and Schubert Cells : a Dictionary (Séminaire d'Algèbre, 1980-1981, Springer Lecture Notes # 924). | MR | Zbl
and ,[12] Projective Modules in the Category Os : Self-Duality (Trans. Amer. Math. Soc., Vol. 291, 1985, pp. 701-732). | MR | Zbl
,[13] Projective Modules in the Category Os : Loewy Series (Trans. Amer. Math. Soc., Vol. 291, 1985, pp. 733-754). | MR | Zbl
,[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 | Zbl
,[16] Representations of Coxeter Groups and Hecke Algebras (Invent. Math., Vol. 53, 1979, pp. 165-184). | MR | Zbl
and ,[17] Schubert Varieties and Poincaré Duality (Proc. Sympos. Pure Math., Vol. 36, Amer. Mat. Soc., Providence, R.I., 1980, pp. 185-203). | MR | Zbl
and ,[18] Finite Group Algebras and their Modules, Cambridge U. Press, Cambridge, 1983. | MR | Zbl
,[19] Characters of Reductive Groups Over a Finite Field (Annals of Mathematics Studies, # 107, Princeton U. Press, Princeton, N.J., 1984). | MR | Zbl
,[20] Irreducible Characters of Semisimple Lie Groups I (Duke Math. J., Vol. 46, 1979, pp. 61-108). | MR | Zbl
,[21] Irreducible Characters of Semisimple Lie Groups II. The Kazhdan-Lusztig Conjectures (Duke Math. J., Vol. 46, 1979, pp. 805-859). | MR | Zbl
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