‘Good’ Elements of Finite Coxeter Groups and Representations of Iwahori-Hecke Algebras

Proceedings of the London Mathematical Society

Volumn 74, Issue 2, 1997, Pages 275-305

  Geck, Meinolf ^a   Michel, Jean ^a  

^a UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002334206     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611597000105     Document Type: Article

References (21)

1. N. BOURBAKI, Groupes et al. gebres de Lie (Hermann, Paris, 1968), Chapitres IV, V, VI.
2. E. BRIESKORN and K. SAITO ‘Artin-Grappen und Coxeter-Gruppen’, Invent. Math. 17 (1972) 245–271.
3. M. BROUE and J. MICHEL ‘Sur certains elements reguliers des groupes de Weyl et les varietes de Deligne-Lusztig associees’, Proceedings of the conference on Finite Reductive Groups, Related Structures and Representations, Luminy 1994 (ed. M. Cabanes), Progress in Mathematics (Birkhäuser, Basel, to appear).
4. R.W. CARTER ‘Conjugacy classes in the Weyl group’, Compositio Math. 25 (1972) 1–59.
5. R.W. CARTER Finite groups of Lie type: conjugacy classes and complex characters (Wiley, New York, 1985).
6. C.W. CURTIS N. IWAHORI, and R.W. KILMOYER, ‘Hecke algebras and characters of parabolic type of finite groups with BN-pairs’, Inst. Hautes Etudes Sci. Publ. Math. 40 (1971) 81–116.
7. C.W. CURTIS and I. REINER, Methods of representation theory, vol. 2 (Wiley, New York, 1987).
8. P. DELIGNE, ‘Les immeubles des groupes de tresses generalises’, Invent. Math. 17 (1972) 273–302.
9. M. GECK ‘Brauer trees of Hecke algebras’, Comm. Algebra 20 (1992) 2937–2973.
10. M. GECK ‘On the character values of Iwahori-Hecke algebras of exceptional type’, Proc. London Math. Soc. (3) 68 (1994) 51–76.
11. M. GECK ‘Beitrage zur Darstellungstheorie von Iwahori-Hecke Algebren’, Habilitationsschrift, Aachener Beitrage zur Mathematik 11 (Verlag der Augustinus-Buchhandlung, Aachen, 1995).
12. M. GECK G. HISS F. LUBECK, G. MALLE, and G. PFEIFFER ‘CHEVIE—A system for computing and processing generic character tables’, Applicable Algebra in Engineering, Communication and Computing 1 (1996) 175–210.
13. M. GECK and G. PFEIFFER ‘On the irreducible characters of Hecke algebras’, Adv. in Math. 102 (1993) 79–94.
14. T. HALVERSON and A. RAM ‘Mumaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type’, preprint, University of Wisconsin, 1994.
15. G. LUSZTIG, ‘On a theorem of Benson and Curtis’, J. Algebra 71 (1981) 490–498.
16. G. LUSZTIG, Characters of reductive groups over a finite field, Annals of Mathematics Studies 107 (Princeton University Press, 1984).
17. G. PFEIFFER ‘Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Mumaghan-Nakayama formula’, J. Algebra 168 (1994) 525–535.
18. G. PFEIFFER ‘Characterwerte von Iwahori-Hecke-Algebren von klassischem Typ’, Dissertation, Aachener Beitrage zur Mathematik 14 (Verlag der Augustinus-Buchhandlung, Aachen, 1995).
19. G. PFEIFFER 'Character values of Iwahori-Hecke algebras of type B Proceedings of the conference on Finite Reductive Groups, Related Structures and Representations, Luminy 1994 (ed. M. Cabanes), Progress in Mathematics (Birkhäuser, Basel, to appear).
20. A. RAM ‘A Frobenius formula for the characters of the Hecke algebras’, Invent. Math. 106 (1991) 461–488.
21. M. SCHONERT et al., ‘GAP - groups, algorithms, and programming’, 4th edn, Lehrstuhl D für Mathematik, RWTH Aachen, Germany, 1994.