List of publications Meinolf Geck
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1 List of publications Meinolf Geck Diploma thesis, Ph.D. thesis, Habilitation: Eine Anwendung von MAPLE in der Darstellungstheorie der unitären Gruppen. Diplomarbeit, Lehrstuhl D für Mathematik, RWTH Aachen, Verallgemeinerte Gelfand-Graev Charaktere und Zerlegungszahlen endlicher Gruppen vom Lie-Typ. RWTH Aachen, Math.-Naturwiss. Fak./FB 1, Dissertation, 1990, 134 pp. Beiträge zur Darstellungstheorie von Iwahori-Hecke-Algebren. Habilitationsschrift, Aachener Beiträge zur Mathematik 11, Verlag der Augustinus Buchhandlung, Aachen, x+171 pp., ISBN: Co-Editor of Proceedings: (with R. W. Carter (eds.)) Representations of reductive groups. Publ. Newton Inst., Cambridge Univ. Press, Cambridge, viii+191 pp., ISBN: (with D. Testerman and J. Thévenaz (eds.)) Group representation theory, Presses Polytechniques et Universitaires Romandes, EPFL-Press, Lausanne, x+454 pp., ISBN: Books: (with G. Pfeiffer) Characters of finite Coxeter groups and Iwahori Hecke algebras. London Math. Soc. Monographs, New Series 21, Oxford University Press, New York xvi+446 pp., ISBN: An introduction to algebraic geometry and algebraic groups. Oxford Graduate Texts in Mathematics 10, Oxford University Press, New York ix+307pp., ISBN: (with N. Jacon) Representations of Hecke a lgebras at roots of unity. Algebra and Applications 15, Springer-Verlag, xii+401pp., ISBN: Software: (with G. Hiss, F. Lübeck, G. Malle, J. Michel and G. Pfeiffer), CHEVIE A computer algebra system for computing and processing generic character tables for finite groups of Lie type and Hecke algebras; homepage at: CHEVIE (See also publications [18], [67]). PyCox A Python version of CHEVIE-GAP for (finite) Coxeter groups; available at my homepage at mth190/. (See also publication [70].) 1
2 Articles: 1. Irreducible Brauer characters of the 3-dimensional special unitary groups in nondefining characteristic. Comm. Algebra 18 (1990), On the decomposition numbers of the finite unitary groups in non-defining characteristic. Math. Z. 207 (1991), Generalized Gelfand-Graev characters for Steinberg s triality groups and their applications. Comm. Algebra 19 (1991), (with G. Hiß) Basic sets of Brauer characters of finite groups of Lie type. J. reine und angew. Math. 418 (1991), (with K. Lux) The decomposition numbers of the Hecke algebra of type F 4. Manuscripta Math. 70 (1991), On the classification of l-blocks of finite groups of Lie type. J. Algebra 151 (1992), Brauer trees of Hecke algebras. Comm. Algebra 20 (1992), (with G. Pfeiffer) The unipotent characters of the Chevalley groups D 4 (q), q odd. Manuscripta Math. 76 (1992), Basic sets of Brauer characters of finite groups of Lie type, II. J. London Math. Soc. (2) 47 (1993), (with G. Pfeiffer) On the irreducible characters of Hecke algebras. Advances in Math. 102 (1993), A note on Harish Chandra induction. Manuscripta Math. 80 (1993), The decomposition numbers of the Hecke algebra of type E 6. Math. Comp. 61 (1993), On the character values of Iwahori Hecke algebras of exceptional type. Proc. London Math. Soc. 68 (1994), (with G. Hiß and G. Malle) Cuspidal unipotent Brauer characters. J. Algebra 168 (1994), Basic sets of Brauer characters of finite groups of Lie type, III. Manuscripta Math. 85 (1994), (with G. Hiß and G. Malle) Towards a classification of the irreducible representations in non-defining characteristic of a finite group of Lie type. Math. Z. 221 (1996), (with G. Malle) Cuspidal unipotent classes and cuspidal Brauer characters. J. London Math. Soc. 53 (1996), (with G. Hiß, F. Lübeck, G. Malle and G. Pfeiffer) CHEVIE-A system for computing and processing generic character tables for finite groups of Lie type, Weyl groups and Hecke algebras. Appl. Algebra Engrg. Comm. Comput. 7 (1996), On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes. Doc. Math. J. DMV 1 (1996), (electronic). 2
3 20. (with G. Hiss) Modular representations of finite groups of Lie type in non-defining characteristic. In: Finite reductive groups (Luminy, 1994; ed. M. Cabanes), Progress in Math. 141, pp , Birkhäuser, Boston, MA, (with R. Rouquier) Centers and simple modules for Iwahori-Hecke algebras. In: Finite reductive groups (Luminy, 1994; ed. M. Cabanes), Progress in Math. 141, pp , Birkhäuser, Boston, MA, (with J. Michel) Good elements in finite Coxeter groups and representations of Iwahori Hecke algebras. Proc. London Math. Soc. (3) 74 (1997), (with S. Lambropoulou) Markov traces and knot invariants related to Hecke algebras of B-type. J. reine angew. Math. 482 (1997), (with S. Kim) Bases for the Bruhat Chevalley order on all finite Coxeter groups. J. Algebra 197 (1997), (with F. Bleher and W. Kimmerle) Automorphisms of integral group rings of finite Coxeter groups and Iwahori Hecke algebras. J. Algebra 197 (1997), Trace functions on Iwahori Hecke algebras. In: Knot theory (Warsaw, 1995), pp , Banach Center Publ. 42, Polish Acad. Sci., Warsaw, Kazhdan-Lusztig cells and decomposition numbers. Represent. Theory 2 (1998), (electronic). 28. Finite groups of Lie type. In: Representations of reductive groups, pp , Publ. Newton Inst., Cambridge Univ. Press, Cambridge, (with R. Dipper, G. Hiss and G. Malle) Representations of Hecke algebras and finite groups of Lie type. In: Algorithmic algebra and number theory (Heidelberg, 1997), pp , Springer Verlag, Berlin/Heidelberg, Representations of Hecke algebras at roots of unity. Séminaire Bourbaki, 50ème année, , Astérisque No. 252 (1998), Exp. 836, Finite reductive groups. In: Proceedings of the Summer School on Representation Theory of Algebras, Finite and Reductive Groups (Cluj-Napoca, 1997), Babes Bolyai Univ. Fac. Math. Comput. Sci. Res. Semin., Cluj-Napoca, 1998, pp Character sheaves and generalized Gelfand Graev characters. Proc. London Math. Soc. 78 (1999), The character table of the Iwahori Hecke algebra of the symmetric group : Starkey s Rule. C. R. Acad. Sci. Paris Sér I 329 (1999), (with G. Malle) On special pieces in the unipotent variety. Experimental Math. 8 (1999), (with G. Malle) On the existence of a unipotent support for the irreducible characters of finite groups of Lie type. Trans. Amer. Math. Soc. 352 (2000), (with S. Kim and G. Pfeiffer) Minimal length elements in twisted conjugacy classes of finite Coxeter groups. J. Algebra 229 (2000), On the representation theory of Iwahori-Hecke algebras of extended finite Weyl groups. Represent. Theory 4 (2000), (electronic). 3
4 38. (with L. Iancu and G. Malle) Weights of Markov traces and generic degrees. Indag. Mathem., N. S., 11 (2000), On the number of simple modules of Iwahori Hecke algebras of finite Weyl groups. Bul. Stiit. Univ. Baia Mare, Ser. B 16 (2000), ; preprint available at Kazhdan Lusztig cells, q-schur algebras, and James conjecture. J. London Math. Soc. 63 (2001), Modular Harish-Chandra series, Hecke algebras and (generalized) q-schur algebras. In: Modular Representation Theory of Finite Groups (Charlottesville, VA, 1998; eds. M. J. Collins, B. J. Parshall and L. L. Scott), p. 1 66, Walter de Gruyter, Berlin (with R. Rouquier) Filtrations on projective modules for Iwahori Hecke algebras. In: Modular Representation Theory of Finite Groups (Charlottesville, VA, 1998; eds. M. J. Collins, B. J. Parshall and L. L. Scott), p , Walter de Gruyter, Berlin Constructible characters, leading coefficients and left cells for finite Coxeter groups with unequal parameters, Represent. Theory 6 (2002), 1 30 (electronic). 44. (with N. Jacon) Ocneanu traces and Starkey s rule, Journal Knot theory and Ramifications, 12 (2003), Character values, Schur indices and character sheaves, Represent. Theory 7 (2003), (electronic). 46. (with G. Malle) Fourier matrices and Frobenius eigenvalues for finite Coxeter groups. Special issue celebrating the 80th birthday of Robert Steinberg, J. Algebra 260(2003), On the induction of Kazhdan Lusztig cells, Bull. London Math. Soc. 35 (2003), On the p-defects of character degrees of finite groups of Lie type, Carpathian J. Math. 19 (2003), ; preprint available at On the Schur indices of cuspidal unipotent characters. In: Finite Groups 2003 (Gainesville, FL, 2003; eds. C. Y. Ho, P. Sin, P. H. Tiep and A. Turull), p , Walter de Gruyter, Computing Kazhdan Lusztig cells for unequal parameters, J. Algebra 281 (2004), ; section Computational Algebra. 51. The Schur indices of the cuspidal unipotent characters of the finite Chevalley groups E 7 (q), Osaka Journal of Math. 42 (2005), Left cells and constructible representations, Represent. Theory 9 (2005), (electronic); Erratum, ibid. 11 (2007), (with G. Malle) Reflection groups. In: Handbook of Algebra, Vol. 4 (ed. M. Hazewinkel), p , Elsevier, (with L. Iancu) Lusztig s a-function in type B n in the asymptotic case. Special issue celebrating the 60th birthday of George Lusztig, Nagoya J. Math. 182 (2006),
5 55. Kazhdan Lusztig cells and the Murphy basis, Proc. London Math. Soc. 93 (2006), Modular principal series representations, Int. Math. Res. Notices, vol. 2006, Article ID 41957, pp Relative Kazhdan Lusztig cells, Represent. Theory 10 (2006), (with N. Jacon) Canonical basic sets in type B. Special issue in honour of Gordon Douglas James, J. Algebra 306 (2006), Modular representations of Hecke algebras. In: Group representation theory (EPFL, 2005; eds. M. Geck, D. Testerman and J. Thévenaz), pp , Presses Polytechniques et Universitaires Romandes, EPFL-Press, Lausanne, Hecke algebras of finite type are cellular, Invent. Math. 169 (2007), (with L. Iancu and C. Pallikaros), Specht modules and Kazhdan Lusztig cells in type B n ; J. Pure and Applied Algebra 212 (2008), (with D. Hézard), On the unipotent support of character sheaves, Osaka J. Math. 45 (2008), (with J. Müller), James conjecture for Hecke algebras of exceptional type, I. Special issue in honour of Gus Lehrer, J. Algebra 321 (2009), Leading coefficients and cellular bases of Hecke algebras, Proc. Edinburgh Math. Soc. 52 (2009), (with C. Bonnafé, L. Iancu and T. Lam), On domino insertion and Kazhdan Lusztig cells in type B n. In: Representation theory of algebraic groups and quantum groups (Nagoya, 2006; eds. A. Gyoja et al.), pp , Progress in Math. 284, Birkhäuser, On Iwahori-Hecke algebras with unequal parameters and Lusztig s isomorphism theorem. Jacques Tits special issue. Pure Appl. Math. Q. 7 (2011), Some applications of CHEVIE to the theory of algebraic groups. Carpath. J. Math., 27 (2011), On the Kazhdan Lusztig order on cells and families. Comment. Math. Helv. 87 (2012), Remarks on modular representations of finite groups of Lie type in non-defining characteristic. Contemp. Math. Volume 505, pp , Amer. Math. Soc., Providence, RI, PyCox: Computing with (finite) Coxeter groups and Iwahori Hecke algebras. Dedicated to the Memory of Prof. H. Pahlings. LMS J. of Comput. and Math. 15 (2012), Kazhdan-Lusztig cells and the Frobenius-Schur indicator. J. Algebra (to appear); preprint at arxiv: (with G. Malle) Frobenius Schur indicators of unipotent characters and the twisted involution module. Represent. Theory (to appear); preprint at arxiv: Preprints: 5
6 [12b] (with L. Iancu), Ordering Lusztig s families in type B n ; see arxiv: [12c] (with C. Bonnafé), Conjugacy classes of involutions and Kazhdan Lusztig cells; see hal [12d] On Kottwitz conjecture for twisted involutions; see arxiv: October
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