{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T20:49:50Z","timestamp":1776977390431,"version":"3.51.4"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1996,5,1]],"date-time":"1996-05-01T00:00:00Z","timestamp":830908800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[1996,5]]},"DOI":"10.1007\/bf01190329","type":"journal-article","created":{"date-parts":[[2005,2,18]],"date-time":"2005-02-18T05:34:38Z","timestamp":1108704878000},"page":"175-210","source":"Crossref","is-referenced-by-count":240,"title":["CHEVIE ? A system for computing and processing generic character tables"],"prefix":"10.1007","volume":"7","author":[{"given":"Meinolf","family":"Geck","sequence":"first","affiliation":[]},{"given":"Gerhard","family":"Hiss","sequence":"additional","affiliation":[]},{"given":"Frank","family":"L\ufffdbeck","sequence":"additional","affiliation":[]},{"given":"Gunter","family":"Malle","sequence":"additional","affiliation":[]},{"given":"G\ufffdtz","family":"Pfeiffer","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","first-page":"201","volume":"336","author":"D. Alvis","year":"1982","unstructured":"Alvis, D., Lusztig, G.: The representations and generic degrees of the Hecke algebra of type H4. J. reine angew. Math.336, 201?212 (1982); Correction: ibid.449, 217?218 (1994)","journal-title":"J. reine angew. Math."},{"key":"CR2","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1090\/S0002-9947-1972-0304473-1","volume":"165","author":"C. T. Benson","year":"1972","unstructured":"Benson, C. T., Curtis, C. W.: On the degrees and rationality of certain characters of finite Chevalley groups. Trans. Am. Math. Soc.165, 251?273 (1972)","journal-title":"Trans. Am. Math. Soc."},{"key":"CR3","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/BF01444619","volume":"292","author":"M. Brou\u00e9","year":"1992","unstructured":"Brou\u00e9, M., Malle, G.: Th\u00e9or\u00e8mes de Sylow g\u00e9n\u00e9riques pour les groupes r\u00e9ductifs sur les corps finis. Math. Ann.292, 241?262 (1992)","journal-title":"Math. Ann."},{"key":"CR4","unstructured":"-: Zyklotomische Heckealgebren. In: Repr\u00e9sentations unipotentes g\u00e9n\u00e9riques et blocs des groupes r\u00e9ductifs finis, Ast\u00e9risque, vol. 212, Soci\u00e9t\u00e9 Math\u00e9matique de France, pp. 119?189 (1993)"},{"key":"CR5","unstructured":"Brou\u00e9, M., Malle, G., Michel, J.: Generic blocks of finite reductive groups. In: Repr\u00e9sentations unipotentes g\u00e9n\u00e9riques et blocs des groupes r\u00e9ductifs finis, Ast\u00e9risque, vol. 212, Soci\u00e9te Math\u00e9matique de France, pp. 7?92 (1993)"},{"key":"CR6","first-page":"1","volume":"25","author":"R. W. Carter","year":"1972","unstructured":"Carter, R. W.: Conjugacy classes in the Weyl group. Compositio Math.25, 1?59 (1972)","journal-title":"Compositio Math."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1112\/plms\/s3-37.3.491","volume":"37","author":"R. W. Carter","year":"1978","unstructured":"?: Centralizers of semisimple elements in finite groups of Lie type. Proc. London Math. Soc.37, 491?507 (1978)","journal-title":"Proc. London Math. Soc"},{"key":"CR8","volume-title":"Finite groups of Lie type: Conjugacy classes and complex characters","author":"R. W. Carter","year":"1985","unstructured":"?: Finite groups of Lie type: Conjugacy classes and complex characters. New York: Wiley 1985"},{"key":"CR9","first-page":"395","volume":"XIII","author":"B. Chang","year":"1974","unstructured":"Chang, B., Ree, R.: The characters ofG 2(q). Symposia MathematicaXIII, 395?413 (1974)","journal-title":"Symposia Mathematica"},{"key":"CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-7386-9","volume-title":"Maple V. Language Reference Manual","author":"B. W. Char","year":"1991","unstructured":"Char, B. W., Geddes, K. O., Gonnet, G. H., Leong, B. L., Monagan, M. B., Watt, S. M.: Maple V. Language Reference Manual. Berlin, Heidelberg, New York: Springer 1991"},{"key":"CR11","volume-title":"Atlas of finite groups","author":"J. H. Conway","year":"1984","unstructured":"Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A., Wilson, R. A.: Atlas of finite groups. London: Oxford University Press 1984"},{"key":"CR12","volume-title":"Methods of representation theory, vol. I, II","author":"C. W. Curtis","year":"1981\/1987","unstructured":"Curtis, C. W., Reiner, I.: Methods of representation theory, vol. I, II. New York: Wiley 1981\/1987"},{"key":"CR13","doi-asserted-by":"crossref","first-page":"103","DOI":"10.2307\/1971021","volume":"103","author":"P. Deligne","year":"1976","unstructured":"Deligne, P., Lusztig, G.: Representations of reductive groups over finite fields. Annals of Math.103, 103?161 (1976)","journal-title":"Annals of Math."},{"key":"CR14","volume-title":"Conjugacy classes and centralizers of semisimple elements in finite groups of Lie type","author":"D. I. Deriziotis","year":"1984","unstructured":"Deriziotis, D. I.: Conjugacy classes and centralizers of semisimple elements in finite groups of Lie type. Vorlesungen aus dem Fachbereich Mathematik der Universit\u00e4t Essen, Heft 11, Germany (1984)"},{"key":"CR15","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139172417","volume-title":"Representations of finite groups of Lie type","author":"F. Digne","year":"1991","unstructured":"Digne, F., Michel, J.: Representations of finite groups of Lie type. Cambridge: Cambridge Univ. Press 1991"},{"key":"CR16","volume-title":"Coxeter Version 1.0","author":"F. DnCloux","year":"1991","unstructured":"DnCloux, F., Coxeter Version 1.0. Universit\u00e9 de Lyon, France (1991)"},{"key":"CR17","volume-title":"Eine Anwendung von MAPLE in der Darstellungstheorie der unit\u00e4ren Gruppen. Diplomarbeit","author":"M. Geck","year":"1988","unstructured":"Geck, M.: Eine Anwendung von MAPLE in der Darstellungstheorie der unit\u00e4ren Gruppen. Diplomarbeit, Lehrstuhl D f\u00fcr Mathematik, Rheinisch Westf\u00e4lische Technische Hochschule, Aachen, Germany (1988)"},{"key":"CR18","volume-title":"Beitr\u00e4ge zur Darstellungstheorie von Iwahori-Hecke Algebren","author":"M. Geck","year":"1993","unstructured":"?: Beitr\u00e4ge zur Darstellungstheorie von Iwahori-Hecke Algebren. Habilitationsschrift, Lehrstuhl D f\u00fcr Mathematik, Rheinisch Westf\u00e4lische Technische Hochschule, Aachen. Germany (1993)"},{"key":"CR19","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1112\/plms\/s3-68.1.51","volume":"68","author":"M. Geck","year":"1994","unstructured":"?: On the character values of Iwahori-Hecke algebras a exceptional type. Proc. London Math. Soc.68, 51?76 (1994)","journal-title":"Proc. London Math. Soc."},{"key":"CR20","volume-title":"Preprint 93?62","author":"M. Geck","year":"1993","unstructured":"Geck, M., Hiss, G., L\u00fcbeck, F., Malle, G., Pfeiffer, G.: CHEVIE ? Generic Character Tables of Finite Groups of Lie Type, Hecke Algebras and Weyl Groups. Preprint 93?62, Interdisziplin\u00e4res Zentrum f\u00fcr wissenschaftliches Rechnen der Universit\u00e4t Heidelberg, Germany (1993)"},{"key":"CR21","unstructured":"Geck, M., Michel, J.: On ?good? elements in the conjugacy classes of finite Coxeter groups and their eigenvalues on the irreducible representations of Iwahori-Hecke algebras.Submitted to: Proc. London Math. Soc."},{"key":"CR22","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1006\/aima.1993.1056","volume":"102","author":"M. Geck","year":"1993","unstructured":"Geck, M., Pfeiffer, G.: On the irreducible characters of Hecke algebras. Adv. in Math.102, 79?94 (1993)","journal-title":"Adv. in Math."},{"key":"CR23","doi-asserted-by":"crossref","first-page":"402","DOI":"10.1090\/S0002-9947-1955-0072878-2","volume":"80","author":"J. A. Green","year":"1955","unstructured":"Green, J. A.: The characters of the finite general linear groups. Trans. Am. Math. Soc.80, 402?447 (1955)","journal-title":"Trans. Am. Math. Soc."},{"key":"CR24","unstructured":"Halverson, T., Ram, A.: Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type. Preprint (1994)"},{"key":"CR25","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/0021-8693(89)90201-9","volume":"120","author":"G. Hiss","year":"1989","unstructured":"Hiss, G.: On the decomposition numbers ofG 2(q). J. Algebra120, 339?360 (1989).","journal-title":"J. Algebra"},{"key":"CR26","doi-asserted-by":"crossref","unstructured":"Humphreys, J. E.: Reflections groups and Coxeter groups. Cambridge studies in advanced mathematics, vol. 29, Cambridge Univ. Press 1990","DOI":"10.1017\/CBO9780511623646"},{"key":"CR27","doi-asserted-by":"crossref","first-page":"335","DOI":"10.2307\/1971403","volume":"126","author":"V. F. R. Jones","year":"1987","unstructured":"Jones, V. F. R.: Hecke algebra representations of braid groups and link polynomials. Annals Math.126, 335?388 (1987)","journal-title":"Annals Math."},{"key":"CR28","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1007\/BF01390031","volume":"53","author":"D. Kazhdan","year":"1979","unstructured":"Kazhdan, D., Lusztig, G.: Representations of Coxeter groups and Hecke algebras. Invent. Math.53, 165?184 (1979)","journal-title":"Invent. Math."},{"key":"CR29","volume-title":"Charaktertafeln f\u00fcr die Gruppen CSp6(q) mit ungerademq und Sp6(q) mit gerademq. Dissertation","author":"F. L\u00fcbeck","year":"1993","unstructured":"L\u00fcbeck, F.: Charaktertafeln f\u00fcr die Gruppen CSp6(q) mit ungerademq und Sp6(q) mit gerademq. Dissertation, Universit\u00e4t Heidelberg, Germany (1993)"},{"key":"CR30","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1016\/0021-8693(81)90188-5","volume":"71","author":"G. Lusztig","year":"1981","unstructured":"Lusztig, G.: On a theorem of Benson and Curtis. J. Algebra71, 490?498 (1981)","journal-title":"J. Algebra"},{"key":"CR31","unstructured":"-: Characters of reductive groups over a finite field. Annals of Mathematical Studies, vol. 107, Princeton University Press 1985"},{"key":"CR32","unstructured":"-: On the representations of reductive groups with disconnected centre. In: Orbites Unipotentes et Repr\u00e9sentations, I. Groupes finis et Alg\u00e8bres de Hecke, Ast\u00e9risque vol. 168, Soci\u00e9t\u00e9 Math\u00e9matique de France, pp. 157?166 (1988)"},{"key":"CR33","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1090\/S0894-0347-1992-1157292-7","volume":"5","author":"G. Lusztig","year":"1992","unstructured":"?: Remarks on computing irreducible characters. J. Am. Math. Soc.5, 971?986 (1992)","journal-title":"J. Am. Math. Soc."},{"key":"CR34","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1515\/crll.1988.392.70","volume":"392","author":"G. Malle","year":"1988","unstructured":"Malle, G.: Exceptional groups of Lie type as Galois groups. J. Reine Angew. Math.392, 70?109 (1988)","journal-title":"J. Reine Angew. Math."},{"key":"CR35","doi-asserted-by":"crossref","first-page":"2361","DOI":"10.1080\/00927879008824026","volume":"18","author":"G. Malle","year":"1990","unstructured":"?: Die unipotenten Charaktere von2 F 4(q 2). Comm. Algebra18, 2361?2381 (1990)","journal-title":"Comm. Algebra"},{"key":"CR36","doi-asserted-by":"crossref","first-page":"349","DOI":"10.4153\/CMB-1990-059-8","volume":"33","author":"G. Malle","year":"1990","unstructured":"?: Hurwitz groups andG 2(q). Canad. Math. Bull.33, 349?357 (1990)","journal-title":"Canad. Math. Bull."},{"key":"CR37","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1006\/jabr.1993.1147","volume":"159","author":"G. Malle","year":"1993","unstructured":"?: Generalized Deligne-Lusztig characters. J. Algebra159, 64?97 (1993)","journal-title":"J. Algebra"},{"key":"CR38","doi-asserted-by":"crossref","first-page":"768","DOI":"10.1006\/jabr.1995.1329","volume":"177","author":"G. Malle","year":"1995","unstructured":"?: Unipotente Grade imprimitiver komplexer Spiegelungsgruppen. J. Algebra177, 768?826 (1995)","journal-title":"J. Algebra"},{"key":"CR39","unstructured":"-: Degr\u00e9s relatifs des alg\u00e8bres cyclotomiques associ\u00e9es aux groupes de r\u00e9flexions complexes de dimension deux. Submitted (1994)"},{"key":"CR40","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1006\/jabr.1994.1243","volume":"168","author":"G. Pfeiffer","year":"1994","unstructured":"Pfeiffer, G.: Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula. J. Algebra168, 525?535 (1994)","journal-title":"J. Algebra"},{"key":"CR41","unstructured":"-: Character values of Iwahori-Hecke algebras of typeB. To appear (1994)"},{"key":"CR42","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1007\/BF01243921","volume":"106","author":"A. Ram","year":"1991","unstructured":"Ram, A.: A Frobenius formula for the characters of the Hecke algebras. Invent. Math.106, 461?488 (1991)","journal-title":"Invent. Math."},{"key":"CR43","volume-title":"GAP ? Groups, Algorithms, and Programming","author":"M. Sch\u00f6nert","year":"1994","unstructured":"Sch\u00f6nert, M., et al: GAP ? Groups, Algorithms, and Programming. Lehrstuhl D f\u00fcr Mathematik, Rheinisch Westf\u00e4lische Technische Hochschule, Aachen, Germany, fourth ed. (1994)","edition":"fourth ed."},{"key":"CR44","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1515\/crll.1907.132.85","volume":"132","author":"I. Schur","year":"1907","unstructured":"Schur, I.: Untersuchungen \u00fcber die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen. J. Reine Angew. Math.132, 85?137 (1907)","journal-title":"J. Reine Angew. Math."},{"key":"CR45","doi-asserted-by":"crossref","first-page":"274","DOI":"10.4153\/CJM-1954-028-3","volume":"6","author":"G. C. Shephard","year":"1954","unstructured":"Shephard, G. C., Todd, J. A.: Finite unitary reflection groups. Canad. J. Math.6, 274?304 (1954)","journal-title":"Canad. J. Math."},{"key":"CR46","volume-title":"Linear algebraic groups","author":"T. A. Springer","year":"1981","unstructured":"Springer, T. A.: Linear algebraic groups. Boston: Birkh\u00e4user 1981"},{"key":"CR47","first-page":"488","volume":"131","author":"B. Srinivasan","year":"1968","unstructured":"Srinivasan, B.: The characters of the finite symplectic groupsSp(4,q). Trans. Am. Math. Soc.131, 488?525 (1968)","journal-title":"Trans. Am. Math. Soc."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01190329.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01190329\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01190329","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T09:08:13Z","timestamp":1556615293000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01190329"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,5]]},"references-count":47,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1996,5]]}},"alternative-id":["BF01190329"],"URL":"https:\/\/doi.org\/10.1007\/bf01190329","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,5]]}}}