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Vertices of irreducible representations of finite Chevalley groups in the describing characteristic

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References

  1. Borel, A.: Properties and linear representations of Chevalley groups. In: Seminar on algebraic groups and related finite groups. Lecture Notes in Mathematics131. Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  2. Carter, R.W.: Simple groups of Lie type. London-New York: John Wiley 1972

    Google Scholar 

  3. Cline, E.: Some connections between Clifford's theory and the theory of vertices and sources. In: Representation Theory Finite Groups and Related Topics. Proceedings of a Symposium (Madison 1970), pp. 19–23. Proceedings of Symposia in Pure Mathematics21. Providence, Rhode Island: American Mathematical Society 1971

    Google Scholar 

  4. Curtis, C.W.: Representations of Lie algebras of classical type with applications to linear groups. J. Math. Mech.9, 307–326 (1960)

    Google Scholar 

  5. Dagger, S.W.: On the blocks of the Chevally groups. J. London Math. Soc. (2)3, 21–29 (1971)

    Google Scholar 

  6. Dornhoff, L.: Group representation theory, Part B. New York: Marcel Dekker 1972

    Google Scholar 

  7. Erdmann, K.: Principal blocks of groups with dihedral Sylow-2-subgroups. Comm. Algebra5, 665–694 (1977)

    Google Scholar 

  8. Green, J.A.: Some remarks on defect groups. Math. Z.107, 133–150 (1968)

    Google Scholar 

  9. Humphreys, J.E.: Introduction to Lie algebras and representation theory. New York-Heidelberg-Berlin: Springer 1972

    Google Scholar 

  10. Steinberg, R.: Representations of algebraic groups. Nagoya Math. J.22, 33–56 (1963)

    Google Scholar 

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  1. Mathematisches Institut der Universität, Universitätsstraße 2, D-4300, Essen, Federal Republic of Germany

    Richard Dipper

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  1. Richard Dipper
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Dipper, R. Vertices of irreducible representations of finite Chevalley groups in the describing characteristic. Math Z 175, 143–159 (1980). https://doi.org/10.1007/BF01674444

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