Cells and q-Schur algebras

Transformation Groups

Volumn 3, Issue 1, 1998, Pages 33-49

  Du, J ^a   Parshall, B ^b   Scott, L ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041021845     PISSN: 10834362     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01237838     Document Type: Article

References (25)

1. [AG] M. Auslander and O. Goldman, Maximal orders, Trans. Amer. Math. Soc. 97 (1960), 1-24.
2. [BV] D. Barbasch and D. Vogan, Primitive ideals and orbital integrals in complex classical groups, Math. Ann. 259 (1982), 153-199.
3. [B] D. Benson, Representations and Cohomology, I: Basic Representation Theory of Finite Groups and Associative Algebras, Cambridge U. Press, 1991.
4. [BC] C. Benson and C. Curtis, On the degrees and rationality of characters of finite Chevalley groups, Trans. Amer. Math. Soc. 165, 202 (1972, 1975), 251-273; 405-406.
5. [BB] A. Beilinson and J. Bernstein, Localization des G-modules, C.R. Acad. Sci. Paris 292 (1981), 15-18.
6. [BK] J. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math. 64 (1981), 387-410.
7. [CPS] E. Cline, B. Parshall, L. Scott, Integral and graded quasi-hereditary algebras, J. Algebra 131 (1990), 126-160.
8. R. Dipper, Polynomial representations of finite general linear groups in non-describing characteristic, Prog. Math. 95 (1991), 343-370.
9. n, Jour. London Math. Soc. 63 (1991), 165-211.
10. R. Dipper and G. James, Representations of Hecke algebras of general linear groups, Proc. London Math. Soc. 52 (1986), 20-52.
11. R. Dipper and G. James, The q-Schur algebra, Proc. London Math. Soc. 59 (1989), 23-50.
12. n, J. Algebra 181 (1996), 235-266.
13. n, II, J. London Math. Soc. 51 (1995), 461-470.
14. [DPS] Jie Du, B. Parshall, and L. Scott, Stratifying endomorphism algebras associated to Hecke algebras, in press, J. Algebra.
15. [GR] M. Geek, M. Rouquier, Centers and simple modules for IwahoriHecke algebras, Finite reductive groups: related structures and representations (ed., M. Cabanes), Burkhäuser (1996), 229-250.
16. [G] J. Graham, Modular Representations of Hecke Algebras and Related Algebras, Thesis, University of Sydney (1995).
17. [GL] J. Graham and G. Lehrer, Cellular algebras, Inv. Math. 123 (1996), 1-34.
18. D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Inv. Math. 53 (1979), 165-184.
19. D. Kazhdan and G. Lusztig, Schubert varieties and Poincaré duality, Proc. Symp. Pure Math. 36 (1979), 165-184.
20. G. Lusztig, On a theorem of Benson and Curtis, J. Algebra 71 (1981), 490-498.
21. G. Lusztig, Cells in the affine Weyl groups, Algebraic Groups and Related Topics, Adv. Stud. Pure Math. 6 (1985) 255-287.
22. G. Lusztig and N. Xi, Canonical left cells in affine Weyl groups, Adv. Math. 72 (1988), 284-288.
23. S. Martin, Schur Algebras and Representation Theory, Cambridge Univ. Press, Cambridge, U.K., 1993.
24. [PW] B. Parshall and J.-p. Wang, Quantum Linear Groups, Memoirs Amer. Math. Soc. 439 (1991).
25. [S] Jian-yi Shi, The poset of two-sided cells of certain affine Weyl groups, J. Algebra 179 (1996), 607-621.