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Morita equivalence for blocks of finite general linear groups

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References

  1. J. L. Alperin, Local representation theory, Proc. Sym. Pure Math. A.M.S.37, 369–375 (1980)

    MathSciNet  Google Scholar 

  2. M. Broué, Lesl-blocs des groupesGL(n, q) etU(n, q 2) et leurs structure locales, Asterisque133–134, 159–188 (1986)

    Google Scholar 

  3. R.W. Carter, “Finite Groups of Lie Type: Conjugacy Classes and Complex Characters”. Wiley Interscience, New York 1985

    MATH  Google Scholar 

  4. C. W. Curtis and I. Reiner, “Methods of Representation Theory with Applications to Groups and Orders”, Vol. 2. Wiley Interscience, New York 1987

    MATH  Google Scholar 

  5. R. Dipper and P. Fleischmann, Modular Harish-Chandra theory I, Math. Z.211, 49–71 (1992)

    MATH  MathSciNet  Google Scholar 

  6. R. Dipper and G. D. James, Identification of the irreducible modular representations ofGL(n, q), J. Algebra104, 266–288 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  7. R. Dipper and G. D. James, Theq-Schur algebra, Proc. London Math. Soc.59, 20–52 (1989)

    Article  MathSciNet  Google Scholar 

  8. P. Fong and B. Srinivasan, The blocks of finite general linear and unitary groups, Invent. Math.69, 109–153 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  9. M. Geck and G. Hiss, Basic sets of Brauer characters of finite groups of Lie type, J. reine angew. Math.418, 173–188 (1991)

    MATH  MathSciNet  Google Scholar 

  10. R. Gow, Schur indices of some groups of Lie type, J. Algebra42, 102–120 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  11. J.A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc.80, 402–447 (1955)

    Article  MATH  MathSciNet  Google Scholar 

  12. I.M. Isaacs, “Character theory of finite groups”. Academic Press, 1976.

  13. G. D. James “The Representation theory of the Symmetric Group”, Lecture Notes in Mathematics682, Springer Verlag, Berlin, 1978.

    Google Scholar 

  14. G. D. James, The irreducible representations of the finite general linear group, Proc. London Math. Soc.52, 236–268 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  15. G. D. James and A. Kerber, “The Representation Theory of the Symmetric Group”, Encyclopedia of Mathematics and Its Applications, Vol. 16, Addison-Wesley, Reading, 1981.

    MATH  Google Scholar 

  16. T. Jost, Morita equivalence for blocks of Hecke algebras of symmetric groups, Preprint (1996).

  17. P. Landrock, “Finite group algebras and their modules”. L.M.S. Lecture Note Series84, Cambridge University Press, 1984.

  18. G. O. Michler and J. Olsson, Character correspondences in finite general linear, unitary and symmetric groups, Math. Z.184, 203–233 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  19. Z. Ohmori, On the Schur indices ofGL(n, q) andSL(2n+1,q), J. Math. Soc. Japan29, 693–707 (1977)

    Article  MathSciNet  Google Scholar 

  20. J. Scopes, “Representations of the symmetric groups”. D. Phil thesis, Oxford, 1990.

  21. J. Scopes, Cartan matrices and Morita equivalence for blocks of the symmetric groups, J. Algebra142, 441–455 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  22. A. Weir, Sylowp-subgroups of the classical groups over finite fields with characteristic prime top, Proc Amer. Math. Soc.6, 529–533 (1955)

    Article  MATH  MathSciNet  Google Scholar 

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  1. Mathematical Institute, University of Oxford, 24-29 St Giles, OX1 3LB, Oxford, UK

    Thomas Jost

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  1. Thomas Jost
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Jost, T. Morita equivalence for blocks of finite general linear groups. Manuscripta Math 91, 121–144 (1996). https://doi.org/10.1007/BF02567944

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