Brauer trees of Hecke algebras

10.1017/CBO9780511623592

10.1090/S0002-9947-1972-0304473-1

Brou$eacute;, M., and Michel, J., 1989. "Blocs et Séries de Lusztig dans un Groupe". In: Réductif Fini. J. reine angew. Math. Vol. 395. 1989. pp. 56–67.

Conway, J.H., Norton, R.T., Parker, S.P., and und Wilson, R.A., 1985. Atlas of Finite Groups. London: Oxford University Press; 1985.

Carter, R., 1972. Simple Groups of Lie Type.. London: Wiley; 1972.

Carter, R.W., "Finite Groups of Lie Type". In: Conjugacy Classes and Complex Characters.Wiley.

Curtis, C.W., Corrections and Additions to: 'On the degrees and ratio- nality of certain characters of finite Chevalley groups.. In: Trans. Am. Math. SOC.. Vol. 202. >1975. pp. 405–406.

Curtis C.W. and Reiner I. "Representation theory of finite groups and associative algebras".

Curtis, C.W., and Reiner, I., "Methods of Representation Theory". In: Vol.I. Wiley-Interscience Publication; 1981.

Curtis, C.W., and Reiner, I., " Methods of Representation Theory". In: Vol.II. Wiley-Interscience Publication; 1987.

Dipper, R., 1990. " On Quotients of Horn-Functors and Representations of Finite General Linear Groups". In: I. J. Alg. Vol. 130. 1990. pp. 235–259.

10.1112/plms/s3-52.1.20

10.1112/plms/s3-54.1.57

10.1007/BF01389188

Fong, P., and Srinivasan, B., 1984. "Brauer Trees in GL$sub;n(q)". In: Math. Z.. Vol. 187. 1984. pp. 81–88.

10.1016/0021-8693(90)90172-K

Feit W. 1982. "The representation theory of finite groups". North-Holland Publishing Company; 1982.

10.1007/BF02566271

Geck, M., 1990. "Verallgemeinerte Gelfand-Graev Charaktere und Zerlegungs-zahlen endlicher Gruppen von Lie-Typ". In: Dissertation, Aachen. 1990.

Geck, M., 1991. "On the decomposition numbers of the Unite unitary groups in non-defining characteristic". In: Math.Z. Vol. 207. 1991. pp. 83–89.

Geck, M., On the classification of blocks of finite groups of Lie type, in: J. Algebra, To appear.

Geck, M., The decomposition numbers of the Hecke algebra of type EQ, Math. Comp, Submitted to.

Geck, M., and Hi𝛃, G., 1991. "Basic sets of Brauer characters of finite groups of Lie type". In: J.reine angew. Math. Vol. 418. 1991. pp. 173–188.

10.1007/BF02568379

Goldschmidt, D.M.,1991. Lectures on Character Theory.Berkeley: Publish or Perish1980.

10.1016/0021-8693(84)90040-1

10.2969/jmsj/04110075

James, G.D., 1990. "The decomposition matrices of GL_n(q), for n≤10. ". In: Proc London Math. Soc.. Vol. s3-60. 1990. pp. 225–265.

James, G.D., and Kerber, A., 1981. "The representation theory of the symmetric group". In: Encyclopedia of Mathematics. Vol. 16. Addison-Wesley; 1981.

Kawanaka, N., 1987. "Shintani Lifting and Gelfand-Graev Representations". In: Proc.Symp.Pure Math.,Amer.Math.Soc. Vol. 47. 1987. pp. 147–163.

10.1016/0021-8693(81)90188-5

Lusztig, G., 1983. "Left cells in Weyl groups. In". In: Lecture Notes in Mathematics. Vol. 1024. Springer-Verlag; 1983.

Lusztig, G., "Charakters of Reductive Groups over a Finite Field". In: Ann. Math. Studies.

Lux K. 1990. "Computational aspects of representation theory of finite groups". Preprint Aachen; 1990.

Neubüser, J., Pahlings, H., and Plesken, W., 1984. "CAS; Design and Use of a System for Handling Characters of Finite Groups. In". In: Atkinson, M.D., ed. Computational Group Theory. London: Academic Press; 1984.

10.1016/0097-3165(86)90093-2

10.2969/jmsj/00410001

Parker, R.A., 1984. "The Computer Calculation of Modular Characters (the Meat-Axe). In". In: Atkinson, M.D., ed. Computational Group Theory. London: Academic Press; 1984.

Schönert,M., " GAP 3.1 Manual". In: Lehrstuhl D fur Mathematik Aachen: RWTH. 1991.

Yamane, H., "Irreducible projective modules of the Hecke algebra of a finite Coxeter group.". In: J.Algebra. pp. 373–384.