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References
Angelopoulos, E., Sur les représentations unitaires irréductibles de SO0(p,2), C. R. Acad. Sci. Paris Ser. I 292 (1981), 469–471.
Baldoni Silva, M. W., and D. Barbasch, The unitary spectrum for real rank one groups, Invent. Math. 72 (1983), 27–55.
Baldoni-Silva, M. W., and A. W. Knapp, Indefinite intertwining operators, Proc. Nat. Acad. Sci. USA 81 (1984), 1272–1275.
Baldoni-Silva, M. W., and A. W. Knapp, Indefinite intertwining operators II, preprint, 1984.
Baldoni-Silva, M. W., and A. W. Knapp, Unitary representations induced from maximal parabolic subgroups, preprint, 1985.
Duflo, M., Représentations unitaires irréductibles des groupes simples complexes de rang deux, Bull. Soc. Math. France 107 (1979), 55–96.
Enright, T. J., and N. R. Wallach, Notes on homological algebra and representations of Lie algebras, Duke Math. J. 47 (1980), 1–15.
Knapp, A. W., Weyl group of a cuspidal parabolic, Ann. Sci. Ecole Norm. Sup. 8 (1975), 275–294.
Knapp, A. W., Commutativity of intertwining operators for semisimple groups, Compositio Math. 46 (1982), 33–84.
Knapp, A. W., Minimal K-type formula, "Non Commutative Harmonic Analysis and Lie Groups," Springer-Verlag Lecture Notes in Math. 1020 (1983), 107–118.
Knapp, A. W., Representation Theory of Semisimple Groups: An Overview Based on Examples, Princeton University Press, to appear.
Knapp, A. W., and B. Speh, Status of classification of irreducible unitary representations, "Harmonic Analysis," Springer-Verlag Lecture Notes in Math. 908 (1982), 1–38.
Knapp, A. W., and E. M. Stein, Intertwining operators for semisimple groups, Ann. of Math. 93 (1971), 489–578.
Knapp, A. W., and G. Zuckerman, Classification theorems for representations of semisimple Lie groups, "Non-Commutative Harmonic Analysis," Springer-Verlag Lecture Notes in Math. 587 (1977), 138–159.
Knapp, A. W., and G. J. Zuckerman, Classification of irreducible tempered representations of semisimple groups, Ann. of Math. 116 (1982), 389–501. (See also 119 (1984), 639.)
Langlands, R. P., On the classification of irreducible representations of real algebraic groups, mimeographed notes, Institute for Advanced Study, 1973.
Miličić, D., Asymptotic behaviour of matrix coefficients of the discrete series, Duke Math. J. 44 (1977), 59–88.
Tsuchikawa, M., On the representations of SL(3,C), III, Proc. Japan Acad. 44 (1968), 130–132.
Vahutinskii, I. J., Unitary representations of GL(3,R), Math. Sbornik 75 (117) (1968), 303–320 (Russian).
Vogan, D. A., The algebraic structure of the representation of semisimple groups I, Ann. of Math. 109 (1979), 1–60.
Vogan, D. A., Representations of Real Reductive Lie Groups, Birkhäuser, Boston, 1981.
Vogan, D. A., Unitarizability of certain series of representations, Ann. of Math. 120 (1984), 141–187.
Vogan, D. A., The unitary dual of GL(n) over an archimedean field, preprint, 1985.
Vogan, D. A., and G. J. Zuckerman, Unitary representations with non-zero cohomology, Compositio Math. 53 (1984), 51–90.
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Baldoni-Silva, M.W., Knapp, A.W. (1987). Irreducible unitary representations of some groups of real rank two. In: Carmona, J., Delorme, P., Vergne, M., M.I.T. (eds) Non-Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073016
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