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References
D. Barbasch and D. Vogan, "The local structure of characters", J. Func. Anal. 37 (1980), 27–55.
W.M. Beynon and G. Lusztig, "Some numerical results on the characters of exceptional Weyl groups", Math. Proc. Camb. Phil. Soc. 84 (1978), 417–426.
A. Borel and N. Wallach, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, Princeton University Press, Princeton, New Jersey, 1980.
W. Borho and J.C. Jantzen, "Über primitive Ideale in der Einhüllenden einer halbeinfacher Lie-Algebra", Inv. Math. 39 (1977), 1–53.
W. Casselman and M.S. Osborne, "The n-cohomology of representations with an infinitesimal character", Comp. Math. 31 (1975), 219–227.
M. Duflo, "Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple", Ann. of Math. 105 (1977), 107–120.
A. Joseph, "Goldie rank in the enveloping algebra of a semisimple Lie algebra I,II", to appear in Journal of Algebra.
R.P. Langlands, "On the classification of irreducible representations of real-algebraic groups", mimeographed notes, Institute for Advanced Study, Princeton, N.J., 1980.
H. Rossi and M. Vergne, "Analytic continuation of the holomorphic discrete series of a semi-simple Lie group", Acta Math. 136 (1976), 1–59.
D. Vogan, "The algebraic structure of the representations of semisimple Lie groups I", Ann. of Math. 109 (1979), 1–60.
D. Vogan, "Gelfand-Kirillov dimension for Harish-Chandra modules", Inv. Math. 48 (1978), 75–98.
D. Vogan, "A generalized τ-invariant for the primitive spectrum of a semi-simple Lie algebra", Math. Ann. 242 (1979), 209–224.
D. Vogan, "Irreducible characters of semisimple Lie groups I", Duke Math. J. 46 (1979), 61–108.
G. Warner, Harmonic Analysis on Semi-simple Lie Groups I, Springer-Verlag, New York, 1972.
J. Wolf, "Representations associated to minimal co-adjoint orbits", in Differential Geometrical Methods in Mathematical Physics II, Springer Lecture Notes in Mathematics, vol. 676 (1978).
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Vogan, D.A. (1981). Singular unitary 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/BFb0090421
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DOI: https://doi.org/10.1007/BFb0090421
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