Category O: Gradings and translation functors

Journal of Algebra

Volumn 268, Issue 1, 2003, Pages 301-326

  Stroppel, Catharina ^a  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141726794     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(03)00308-9     Document Type: Article

References (26)

1. H. Andersen, J. Jantzen, W. Soergel, Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p, Astérisque 220 (1994).
2. H. Bass, Algebraic K-theory, Benjamin, 1968.
3. A. Beilinson, J.N. Bernstein, Localisation de g-modules, C. R. Acad. Sci. Paris 292 (1981) 15-18.
4. A. Beilinson, J.N. Bernstein, A proof of Jantzen conjectures, Adv. Soviet Math. 16 (1993) 1-50.
5. I.N. Bernstein, Trace in categories, in: A. Connes, et al. (Eds.), Operator Algebras, Unitary Representations, Enveloping Algebras and Invariant Theory, in: Progr. Math., Vol. 92, 1990, pp. 417-423.
6. I. Bernstein, S.I. Gelfand, Tensor products of finite and infinite dimensional representations of semisimple Lie algebras, Compositio Math. 41 (1980) 245-285.
7. I.N. Bernstein, I.M. Gelfand, S.I. Gelfand, A category of g-modules, Funct. Anal. Appl. 10 (1976) 87-92.
8. A. Beilinson, V. Ginzburg, W. Soergel, Koszul duality patterns in representation theory, J. Amer. Math. Soc. 9 (1996) 473-527.
9. J.-L. Brylinski, M. Kashiwara, Kazhdan-Lustzig conjecture and holonomic systems, Inventiones 64 (1981) 387-410.
10. N. Bourbaki, Algebra I, Springer, 1989.
11. N. Bourbaki, Groupes et algèbres de Lie, Masson, 1994.
12. L. Casian, D. Collingwood, Weight filtrations for induced representations of real reductive Lie groups, Adv. Math. 73 (1989) 79-146.
13. C. Curtis, I. Reiner, Methods of Representation Theory I, Wiley, 1981.
14. J. Dixmier, Enveloping Algebras, in: Grad. Stud. Math., Vol. 11, AMS, 1996.
15. J.C. Jantzen, Moduln mit einem höchsten Gewicht, Springer, 1979.
16. J.C. Jantzen, Einhüllende Algebren halbeinfacher Liealgebren, Springer, 1983.
17. J.C. Jantzen, Representations of Algebraic Groups, in: Pure Appl. Math., Vol. 131, Academic Press, 1987.
18. A. Joseph, Problems old and new, in: J.-L. Brylinski (Ed.), In honor of Bertram Kostant, Birkhäuser, 1994, pp. 385-414.
19. M. Klucznik, S. König, Characteristic tilting modules over quasi-hereditary algebras, Preprint-Server of the SFB 343 E99-004, Universität Bielefeld.
20. D. Kazhdan, G. Lusztig, Representations of Coxeter groups and Hecke algebras, Inventiones 53 (1979) 191-213.
21. W. Soergel, Kategorie O, perverse Garben und Moduln über den Koinvarianten zur Weylgruppe, J. Amer. Math. Soc. 3 (1990) 421-445.
22. W. Soergel, The combinatorics of Harish-Chandra bimodules, J. Reine Angew. Math. 429 (1992) 49-74.
23. W. Soergel, Kazhdan-Lusztig polynomials and a combinatoric for tilting modules, Represent. Theory 1 (1997) 83-114.
24. W. Soergel, Über die Beziehung von Schnittkohomologie und Darstellungstheorie in endlicher Charakteristik, preprint; English version: J. Pure Appl. Algebra 152 (2000) 311-335.
25. C. Stroppel, Category O: quivers and endomorphism rings of projectives, preprint, 2001.
26. C. Stroppel, Der Kombinatorikfunktor V: Graduierte Kategorie O, Hauptserien und primitive Ideale, Dissertation, Universität Freiburg i. Br., 2001.