Stratifying Endomorphism Algebras Associated to Hecke Algebras

Journal of Algebra

Volumn 203, Issue 1, 1998, Pages 169-210

  Du, Jie ^a   Parshall, Brian ^b   Scott, Leonard ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040250328     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1997.7325     Document Type: Article

References (33)

1. Auslander M., Goldman O. Maximal orders. Trans. Amer. Math. Soc. 97:1960;1-24.
2. Auslander M., Goldman O. The Brauer group of a commutative ring. Trans. Amer. Math. Soc. 97:1960;367-409.
3. C. Benson, C. Curtis, On the degrees and rationality of certain characters of finite Chevalley groups, Trans. Amer. Math. Soc. 165, 1972, 251, 273, 202, 1975, 405, 406.
4. Carter R. Finite Groups of Lie Type: Conjugacy Classes and Complex Characters. 1985;Wiley, New York.
5. Cline E., Parshall B., Scott L. Algebraic stratification in representation categories. J. Algebra. 117:1988;504-521.
6. Cline E., Parshall B., Scott L. Finite dimensional algebras and highest weight categories. J. Reine Angew. Math. 391:1988;85-99.
7. Cline E., Parshall B., Scott L. Integral and graded quasi-hereditary algebras, I. J. Algebra. 131:1990;126-160.
8. Cline E., Parshall B., Scott L. Stratifying endomorphism algebras. Mem. Amer. Math. Soc. 591:1996.
9. Cline E., Parshall B., Scott L., van der Kallen W. Rational and generic cohomology. Invent. Math. 39:1977;143-163.
10. C. Curtis, I. Reiner, Methods of Representation Theory, 1, 2, Wiley, New York, 1981, 1987.
11. Dipper R. Hecke algebras and representations of finite reductive groups. CMS Conf. Proc. 1995;Amer. Math. Soc. Providence. p. 79-103.
12. Dipper R. Polynomial representations of finite general linear groups in nondescribing characteristic. Progr. Math. 1991;Birkhäuser, Basel. p. 343-370.
13. Dipper R., James G. Representations of Hecke algebras of general linear groups. Proc. London Math. Soc. 52:1986;20-52.
14. Dipper R., James G. Blocks and idempotents of Hecke algebras of general linear groups. Proc. London Math. Soc. 54:1987;57-82.
15. Dipper R., James G. Theq. Proc. London Math. Soc. 59:1989;23-50.
16. n. J. Algebra. 146:1992;454-481.
17. Donkin S. On Schur algebras and related algebras, I. J. Algebra. 104:1986;310-328.
18. Du J., Parshall B., Scott L. Cells andq. J. Transformation Groups. 3:1998;33-49.
19. J. Du, H. Rui, Cells of finite Coxeter groups in multiparameter case.
20. Fleischmann P. Projective simple modules of symmetric algebras and their specializations with applications to Hecke algebras. Arch. Math. 55:1990;247-258.
21. Geck M. Beiträge zur Darstellungstheorie von Iwahori-Hecke-Algebren. 1994;Habilitationsschrift, Aachen.
22. Geck M., Rouquier R. Centers and simple modules for Iwahori-Hecke algebras. Prog. Math. 141:1997;251-272.
23. Gruber J., Hiss G. Decomposition numbers of finite classical groups for linear primes. J. Reine Angew. Math. 485:1997;55-91.
24. Gyoja A. Modular representation theory over a ring of higher dimension with applications to Hecke algebras. J. Algebra. 174:1995;553-572.
25. Kazhdan D., Lusztig G. Representations of Coxeter groups and Hecke algebras. Invent. Math. 53:1979;165-184.
26. Lusztig G. On a theorem of Benson and Curtis. J. Algebra. 71:1981;490-498.
27. Lusztig G. Left cells in Weyl groups. Lecture Notes in Math. 1983;Springer-Verlag, New York/Berlin. p. 99-111.
28. Mathas A. Aq. J. Algebra. 164:1994;831-848.
29. Parshall B., Scott L. Koszul algebras and the Frobenius automorphism. Quart. J. Math. 46:1995;345-384.
30. Parshall B., Wang J.-P. Quantum linear groups. Mem. Amer. Math. Soc. 439:1991.
31. Shi J.-Y. The Kazhdan-Lusztig cells in certain affine Weyl groups. Lecture Notes in Math. 1986;Springer-Verlag, New York/Berlin.
32. Xi N. Representations of affine Hecke algebras. Lecture Notes in Math. 1994;Springer-Verlag, New York/Berlin.
33. Wiedemann A. On stratifications of derived module categories. Canad. Math. Bull. 34:1991;275-280.