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Character polynomials of discrete series representations

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References

  1. D. Barbasch and D. Vogan, Jr., The local structure of characters, preprint, 1979.

    Google Scholar 

  2. N. Bourbaki, Groupes et Algèbres de Lie, Ch. 4–6, Hermann, Paris, 1968.

    Google Scholar 

  3. H. Hecht and W. Schmid, A proof of Blattner's Conjecture, Inventiones Math. 31 (1975), 129–154.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. T. Hirai, Classification and the Characters of Irreducible Representations of SU(p,1), Proc. Japan Acad. 42 (1966), 907–912.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. _____, Character formulas for the discrete series for semi-simple lie groups, Analyse Harmonique sur les groupes de Lie (Sém. Nancy-Strasbourg 1976–1978), II, pp. 315–340, Lecture Notes in Math. #739, Springer, Berlin, 1979.

    CrossRef  Google Scholar 

  6. A. Joseph, Goldie Rank in the Enveloping Algebra of a Semi-simple Lie Algebra I, preprint 1978.

    Google Scholar 

  7. _____, Goldie Rank in the Enveloping Algebra of a Semi-simple Lie Algebra II, preprint, 1979.

    Google Scholar 

  8. D. King, the Character Polynomial of the Annihilator of an Irreducible Harish Chandra Module, Amer. J. Math., to appear.

    Google Scholar 

  9. W. Schmid, On the Characters of the Discrete Series, the Hermitian Symmetric Case, Inventiones Math. 30 (1975), 47–114.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. L. Solomon, Invariants of Euclidean Reflection Groups, Trans. Amer. Math. Soc. 113 (1964), 274–286.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. B. Speh and D. Vogan, Jr., Reducibility of Generalized Principal Series Representations, preprint.

    Google Scholar 

  12. J. A. Vargas, A Character Formula for the Discrete Series of a Semi-simple Lie Group, B.A.M.S. (New Series) 2 (May 1980), 465–467.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. D. Vogan, Jr., Gelfand-Kirillov Dimension for Harish Chandra Modules, preprint 1978.

    Google Scholar 

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© 1981 Springer-Verlag

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King, D.R. (1981). Character polynomials of discrete series representations. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 880. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090413

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  • DOI: https://doi.org/10.1007/BFb0090413

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