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Ordering of the primitive spectrum of a semisimple Lie algebra

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References

  1. Borho, W., Jantzen, J.D.: Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra. Inventiones math.39, 1–53 (1977)

    Google Scholar 

  2. 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 

  3. Duflo, M.: Représentations irréductibles des groupes semi-simples complexes. Lecture Notes in Mathematics 497, pp. 26–88. Berlin, Heidelberg, New York: Springer 1975

    Google Scholar 

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

    Google Scholar 

  5. Jantzen, J.C.: Zur Charakterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren. Math. Z.140, 127–149 (1974)

    Google Scholar 

  6. Joseph, A.: On the annihilators of the simple subquotients of the principal series. Ann. Sci. École Norm. Sup. (4)10, 419–439 (1977)

    Google Scholar 

  7. Joseph, A.: Dixmier's problem for Verma and principal series submodules. J. Lond. Math. Soc.20, 193–204 (1979)

    Google Scholar 

  8. Joseph, A.: Towards the Jantzen conjecture. Comp. Math.40, 35–67 (1980)

    Google Scholar 

  9. Joseph, A.:W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra. Preprint, Tel-Aviv (1978)

  10. Lepowsky, J.: Algebraic results on representations of semisimple Lie groups. Trans. Amer. Math. Soc.176, 1–44 (1973)

    Google Scholar 

  11. Speh, B., Vogan, D.: Reducibility of generalized principal series representations. Preprint, Institute for Advanced Study, Princeton (1977)

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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Authors and Affiliations

  1. Institute for Advanced Study, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    David A. Vogan Jr.

  2. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    David A. Vogan Jr.

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  1. David A. Vogan Jr.
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Supported in part by a grant from the National Science Foundation

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Vogan, D.A. Ordering of the primitive spectrum of a semisimple Lie algebra. Math. Ann. 248, 195–203 (1980). https://doi.org/10.1007/BF01420525

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