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Polynomial representations of GLn

  • Group Theory
  • Conference paper
  • First Online:
Algebra Carbondale 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 848))

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References

  1. M. Clausen, "Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups, I." Advances in Math. 33(1979), 161–191.

    Article  MathSciNet  MATH  Google Scholar 

  2. P. M. Cohn, Algebra, vol. 1, John Wiley and Sons, London 1974.

    MATH  Google Scholar 

  3. C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, John Wiley and Sons, New York 1962.

    MATH  Google Scholar 

  4. J. A. Green, "Polynomial representations of GLn", to appear in Lecture Notes in Mathematics, Springer, Berlin.

    Google Scholar 

  5. G. D. James, "Some counterexamples in the theory of Specht modules", J. of Algebra 46(1977), 457–461.

    Article  MathSciNet  MATH  Google Scholar 

  6. G. D. James, "The decomposition of tensors over fields of prime characteristic", preprint, University of Cambridge, 1979.

    Google Scholar 

  7. D. E. Littlewood, The theory of group characters, Oxford University Press, 1950.

    Google Scholar 

  8. T. Martins, Ph.D. thesis, University of Warwick, 1981.

    Google Scholar 

  9. F. D. Murnaghan, The theory of group representations, Dover, New York, 1963.

    MATH  Google Scholar 

  10. I. Schur, "Über eine Klasse von Matrizen, die sich einer gegebenen Matrix zuordnen lassen" (1901), in I. Schur, Gesammelte Abhandlungen I, 1–70. Springer, Berlin, 1973.

    Chapter  Google Scholar 

  11. I. Schur, "Über die rationalen Darstellungen der allgemeinen linearen Gruppe" (1927), in I. Schur, Gesammelte Abhandlungen III, 68–85. Springer, Berlin, 1973.

    Chapter  Google Scholar 

  12. W. Specht, "Die irreduziblen Darstellungen der symmetrischen Gruppe", Math. Zeitschr. 39(1935), 696–711.

    Article  MathSciNet  MATH  Google Scholar 

  13. R. Steinberg, Lectures on Chevalley groups, Yale University, New Haven, 1966.

    Google Scholar 

  14. J. Towber, "Young symmetry, the flag manifold, and representation of GL(n)", J. of Algebra 61(1979), 414–462.

    Article  MathSciNet  MATH  Google Scholar 

  15. H. Weyl, The classical groups, Princeton University Press, Princeton, 1946.

    MATH  Google Scholar 

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Authors and Affiliations

  1. University of Warwick, CV4 7AL, Coventry, England

    James A. Green

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  1. James A. Green
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Ralph K. Amayo

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© 1981 Springer-Verlag

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Green, J.A. (1981). Polynomial representations of GLn . In: Amayo, R.K. (eds) Algebra Carbondale 1980. Lecture Notes in Mathematics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090560

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  • DOI: https://doi.org/10.1007/BFb0090560

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10573-2

  • Online ISBN: 978-3-540-38549-3

  • eBook Packages: Springer Book Archive

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