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Unipotent blocks of finite reductive groups of a given type

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References

  • [A-B] Alperin, J., Broué, M.: Local methods in block theory. Ann. Math.110, 143–157 (1979)

    Article  Google Scholar 

  • [B1] Broué, M.: Lesl-blocs des groupes GL(n,q) et U(n,q 2) et leurs structures locales. Astérisque133–134, 159–188 (1986)

    Google Scholar 

  • [B2] Broué, M.: Isométries de caractères et equivalences de Morita. Publ. Math., Inst. Hautes Étud. Sci.71, 45–63 (1990)

    Article  MATH  Google Scholar 

  • [B-M] Broué, M., Michel, J.: Blocs et séries de Lusztig dans un groupe réductif fini. J. Reine Angew. Math.395, 56–67 (1989)

    MATH  MathSciNet  Google Scholar 

  • [C-E] Cabanes, M., Enguehard, M.: On blocks and unipotent characters of reductive groups over a finite field. I. Rapport de recherche du LMENS,91-8. Paris: Éc. Norm. Supér. 1991

    Google Scholar 

  • [Ca] Carter, R.W.: Finite Groups of Lie type: Conjugacy classes and Complex Characters. New York: Wiley 1985

    MATH  Google Scholar 

  • [D-L] Deligne, P., Lusztig, G.: Representations of reductive groups over finite fields. Ann. Math.103, 103–161 (1976)

    Article  MathSciNet  Google Scholar 

  • [Di-M] Digne, F., Michel, J.: Théorie de Deligne-Lusztig et caractères des groupes linéaires et unitaires. J. Algebra107, 217–255 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  • [F-S1] Fong, P., Srinivasan, B.: The blocks of finite general and unitary groups. Invent. Math.69, 109–153 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  • [F-S2] Fong, P., Srinivasan, B.: The blocks of finite classical groups. J. Reine Angew. Math.396, 122–191 (1989)

    MATH  MathSciNet  Google Scholar 

  • [H] Hiss, G.: Zerlegungzahlen endlicher Gruppen vom Lie-typ in nicht-definierender Charakteristik. Habilitationsschrift, RWTH Aachen, 1989

  • [J] Jianbei An: 2-blocks of finite classical groups and 2-weights for finite general linear groups. Thesis, Chicago, 1991

  • [L1] Lusztig, G.: Representations of finite classical groups. Invent. Math.43, 125–175 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  • [L2] Lusztig, G.: On the representations of reductive groups with disconnected centre. Astérisque168, 157–166 (1988)

    MathSciNet  Google Scholar 

  • [L-S] Lusztig, G., Srinivasan, B.: The characters of the finite unitary groups. J. Algebra49, 167–171 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  • [N-T] Nagao, H., Tsushima, Y.: Representations of Finite Groups. New York London: Academic Press 1989

    MATH  Google Scholar 

  • [Sp-S t] Springer, T., Steinberg, R.: Conjugacy classes. In: Borel, A. et al. (eds.) Seminar on algebraic groups and related finite groups. (Lect. Notes Math., vol. 131) Berlin Heidelberg New York: Springer 1970

    Google Scholar 

  • [S t] Steinberg, R.: Endomorphisms of linear algebraic groups. Mem. Am. Math. Soc.80 (1968)

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  1. DMI-ENS, 45, Rue d'Ulm, F-75005, Paris, France

    Marc Cabanes & Michel Enguehard

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  1. Marc Cabanes
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  2. Michel Enguehard
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Cabanes, M., Enguehard, M. Unipotent blocks of finite reductive groups of a given type. Math. Z. 213, 479–490 (1993). https://doi.org/10.1007/BF03025733

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