Borel type subalgebras of the q-schurm algebra

Journal of Algebra

Volumn 213, Issue 2, 1999, Pages 567-595

  Du, Jie ^a   Rui, Hebing ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033558659     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1998.7676     Document Type: Article

References (19)

1. n and the construction of its irreducible representations, Adv. Math. 106 (1994), 216-243.
2. [CPS1] E. Cline, B. Parshall, and L. Scott, Finite dimensional algebras and highest weight categories, J. Reine. Angew. Math. 391 (1988), 85-99.
3. [CPS2] E. Cline, B. Parshall, and L. Scott, Integral and graded quasi-hereditary algebras, I, J. Algebra 131 (1990), 126-160.
4. [CR] C. Curtis and I. Reiner, "Methods of Representation Theory," Vol. I, Wiley, New York, 1981.
5. [DJ1] R. Dipper and G. D. James, Representations of Hecke algebras of general linear groups, Proc. London Math. Soc. 52 (1986), 20-52.
6. [DJ2] R. Dipper and G. D. James, The q-tensor spaces and q-Weyl modules, Trans. Amer. Math. Soc. 327 (1991), 251-282.
7. [DJM1] R. Dipper, G. D. James, and A. Mathas, The (Q, q)-Schur algebra, Proc. London Math. Soc., 77 (1998), 327-361.
8. [DJM2] R. Dipper, G. D. James, and A. Mathas, Cyclotomic q-Schur algebras, Math. Z., 229 (1998), 385-416.
9. [DPW] J. Du, B. Parshall, and J.-P. Wang, Two-parameter quantum linear groups and the hyperbolic invariance of q-Schur algebras, J. London Math. Soc. (2), 44, No. 3 (1991), 420-436.
10. [DR] J. Du and H. Rui, Based algebras and standard basis for quasi-hereditary algebras, Trans. Amer. Math. Soc. 350 (1998), 3207-3235.
11. 2 algebras, Trans. Amer. Math. Soc., in press.
12. [DS1] J. Du and L. Scott, Lusztig conjectures: Old and new, I. J. Reine Angew. Math. 455 (1994), 141-182.
13. [G1] J. A. Green, On certain subalgebras of the Schur algebra, J. Algebra 131 (1990), 265-280.
14. [G2] J. A. Green, Combinatorics and the Schur algebra, J. Pure Appl. Algebra 80 (1993), 89-106.
15. [GL] J. Graham and G. Lehrer, Cellular algebras, Invent. Math. 123 (1996), 1-34.
16. [PW] B. Parshall and J.-P. Wang, Quantum linear groups, Mem. Amer. Math. Soc. 89, No. 439 (1991).
17. [R] C. M. Ringel, The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences, Math. Z. 208 (1991), 209-233.
18. +) and projective resolutions of Weyl modules, J. Algebra 161 (1993), 480-504.
19. [Sc] L. Scott, Appendix, Math. Z. 220 (1995), 421-425.