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Vogan, David A. jun.

A generalized \(\tau\)-invariant for the primitive spectrum of a semisimple Lie algebra. (English) Zbl 0387.17007

Math. Ann. 242, 209-224 (1979).
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Cited in 2 Reviews
Cited in 43 Documents

MSC:

17B35 Universal enveloping (super)algebras
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Full Text: DOI EuDML

References:

[1] Berge, C.: Principles de combinatoire. Paris: Dunod 1968 · Zbl 0227.05001
[2] Borho, W., Jantzen, J.C.: Über primitive Ideale in der Einhüllenden einer halbeinfacher Lie-Algebra. Invent. Math.39, 1-53 (1977) · doi:10.1007/BF01695950
[3] Borho, W., Kraft, H.: Über die Gelfand-Kirillov-Dimension. Math. Ann.220, 1-24 (1976) · doi:10.1007/BF01354525
[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
[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) · Zbl 0346.17011 · doi:10.2307/1971027
[6] Humphreys, J.: Introduction to Lie algebras and representation theory. Berlin, Heidelberg, New York: Springer 1972 · Zbl 0254.17004
[7] Joseph, A.: On the annihilators of the simple subquotients of the principal series. Ann. Sci. École Norm. Sup.10, 419-439 (1977) · Zbl 0386.17004
[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
[9] Joseph, A.: Gelfand-Kirillov dimension for the annihilators of simple quotients of Verma modules. J. Lond. Math. Soc. (in press) · Zbl 0401.17007
[10] Joseph, A.: Towards the Jantzen conjecture. II. Preprint · Zbl 0424.17005
[11] Langlands, R.: On the classification of irreducible representations of real algebraic groups. Mimeographed notes. Princeton: NJ: Institute for Advanced Study 1973
[12] Speh, B., Vogan, D.: Reducibility of generalized principal series representations. Preprint · Zbl 0457.22011
[13] Vogan, D.: Gelfand-Kirillov dimension for Harish-Chandra modules. Invent. Math.48, 75-98 (1978) · Zbl 0389.17002 · doi:10.1007/BF01390063
[14] Vogan, D.: Irreducible characters of semisimple Lie groups. I. Duke Math. J.46, 61-108 (1979) · Zbl 0398.22021 · doi:10.1215/S0012-7094-79-04605-2
[15] Jantzen, J.C.: Moduln mit einem höchsten Gewicht. Habilitationsschrift, Universität Bonn 1977 · Zbl 0426.17001
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