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A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra

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References

  1. Berge, C.: Principles de combinatoire. Paris: Dunod 1968

    Google Scholar 

  2. Borho, W., Jantzen, J.C.: Über primitive Ideale in der Einhüllenden einer halbeinfacher Lie-Algebra. Invent. Math.39, 1–53 (1977)

    Google Scholar 

  3. Borho, W., Kraft, H.: Über die Gelfand-Kirillov-Dimension. Math. Ann.220, 1–24 (1976)

    Google Scholar 

  4. Duflo, M.: Représentations irréducibles des groupes semi-simple complexes. In: Analyse harmonique sur les groupes de Lie. Lectures Notes in Mathematics 497, pp. 26–88. Berlin, Heidelberg, New York: Springer 1975

    Google Scholar 

  5. Duflo, M.: Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple. Ann. of Math.105, 107–120 (1977)

    Google Scholar 

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

    Google Scholar 

  7. Joseph, A.: On the annihilators of the simple subquotients of the principal series. Ann. Sci. École Norm. Sup.10, 419–439 (1977)

    Google Scholar 

  8. Joseph, A.: A characteristic variety for the primitive spectrum of a semisimple Lie algebra. Preprint. Short version in: Non-commutative harmonic analysis. Lecture Notes in Mathematics 587, pp. 102–118. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  9. Joseph, A.: Gelfand-Kirillov dimension for the annihilators of simple quotients of Verma modules. J. Lond. Math. Soc. (in press)

  10. Joseph, A.: Towards the Jantzen conjecture. II. Preprint

  11. Langlands, R.: On the classification of irreducible representations of real algebraic groups. Mimeographed notes. Princeton: NJ: Institute for Advanced Study 1973

    Google Scholar 

  12. Speh, B., Vogan, D.: Reducibility of generalized principal series representations. Preprint

  13. Vogan, D.: Gelfand-Kirillov dimension for Harish-Chandra modules. Invent. Math.48, 75–98 (1978)

    Google Scholar 

  14. Vogan, D.: Irreducible characters of semisimple Lie groups. I. Duke Math. J.46, 61–108 (1979)

    Google Scholar 

  15. Jantzen, J.C.: Moduln mit einem höchsten Gewicht. Habilitationsschrift, Universität Bonn 1977

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Vogan, D.A. A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra. Math. Ann. 242, 209–224 (1979). https://doi.org/10.1007/BF01420727

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