Ariki-Koike algebras with semisimple bottoms

Mathematische Zeitschrift

Volumn 234, Issue 4, 2000, Pages 807-830

  Du, Jie ^b   Rui, Hebing ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034370399     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090050009     Document Type: Article

References (16)

1. F.W. Anderson and K.R. Fuller, Rings and Categories of Modules, GTM 13, Springer-Verlag, New York (1973).
2. n. J. Algebra 169 (1994), 216-225.
3. n and the construction of its irreducible representations. Adv. Math. 106 (1994), 216-243.
4. C.W. Curtis and I. Reiner, Methods of Representation Theory with Application to Finite Groups and Orders, VoI I Wiley, New York (1987).
5. R. Dipper and G. D. James, Representations of Hecke algebras of general linear groups, Proc. London Math. Soc. 52 (1986), 20-52.
6. n, J. Algebra 146 (1992), 454-481.
7. R. Dipper, G. D. James and A. Mathas, Cyclotomic q-Schur algebras, Math. Z. 229 (1998), 385-416.
8. J. Du, B. Parshall and L. Scott, Quantum Weyl reciprocity and tilting modules, Comm. Math. Physics 195 (1998), 321-352.
9. J. Du and H. Rui, Based algebras and standard bases for quasi-hereditary algebras, Trans. Amer. Math. Soc. 350 (1998), 3207-3235.
10. m algebras, J. Algebra 213 (1999), 567-595.
11. J. Du and L. Scott, Lusztig conjectures, old and new, I. J. reine angew. Math. 455 (1994), 141-182.
12. J. Gruber and G. Hiss, Decomposition numbers of finite classical groups for linear primes, J. reine angew. Math. 485 (1997), 55-91.
13. J. Graham and G. Lehrer, Cellular algebras, Invent. Math. 126 (1996), 1-34.
14. J. E. Humphreys, Reflection groups and Coxeter groups. Cambridge Studies in Advanced Mathematics, Vol 29. Cambridge University Press, Cambridge 1990.
15. A. Mathas and G. Malle, Symmetric cyclotomic Hecke algebras, J. Algebra 205 (1998), 275-293.
16. A. Wiedemann, On stratifications of derived module categories, Canad. Math. Bull. 34 (1991), 275-280.