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Characters of special groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 131)

Keywords

  • Conjugacy Class
  • Algebraic Group
  • Weyl Group
  • Parabolic Subgroup
  • Cusp Form

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References

  1. N. Bourbaki, Eléments de Mathématique, Algèbre commutative, Chap. 3.

    Google Scholar 

  2. P. Cartier—D. Foata, Problèmes combinatoires de commutation et réarrangements, Lecture notes in mathematics no. 85, Springer Verlag 1969.

    Google Scholar 

  3. F. G. Frobenius, Gesammelte Abhandlungen, Bd. III, Springer Verlag 1969.

    Google Scholar 

  4. J. A. Green, The characters of the finite general linear groups, Trans. A.M.S. 80 (1955), 402–447.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. B. Huppert, Endliche Gruppen I, Die Grundl. der math. Wiss., Bd. 134, Springer Verlag 1967.

    Google Scholar 

  6. I. G. Macdonald, The Hall algebra, to appear in Jahresber. D.M.V.

    Google Scholar 

  7. A. O. Morris, The characters of the group GL(n, q), Math. Zs. 81 (1963), 112–123.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. G.-C. Rota, On the Foundations of Combinatorial Theory I, Theory of Möbius Functions, Zeit. für Wahrscheinlichkeitsrechnung 2 (1964), 340–368.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. I. Schur, Über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen. J. reine u. angew. Math. 132 (1907), 85–137.

    MathSciNet  MATH  Google Scholar 

  10. B. Srinivasan, The characters of the finite symplectic group Sp(4, q), Trans. A.M.S. 131 (1968), 488–525.

    MathSciNet  MATH  Google Scholar 

  11. R. Steinberg, Endomorphisms of linear algebraic groups, Mem. A. M. S. no. 80, 1968.

    Google Scholar 

  12. R. Steinberg, Lectures on Chevalley groups, Notes by J. Faulkner and R. Wilson, Yale University (1967).

    Google Scholar 

  13. S. Tanaka, Construction and classification of irreducible representations of special linear group of the second order over a finite field, Osaka Jour. Math. 4 (1967), 65–84.

    MathSciNet  MATH  Google Scholar 

  14. A. Weil, Adeles and algebraic groups, Princeton (1961).

    Google Scholar 

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© 1970 Springer-Verlag

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Springer, T.A. (1970). Characters of special groups. In: Seminar on Algebraic Groups and Related Finite Groups. Lecture Notes in Mathematics, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081545

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  • DOI: https://doi.org/10.1007/BFb0081545

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04920-3

  • Online ISBN: 978-3-540-36272-2

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