References
[GW] Goodman, R., Wallach, N.R.: Whittaker vectors and conical vectors. J. Funct. Anal.39, 1990–279 (1980)
[H1] Hashizume, M.: Whittaker models for real semisimple Lie groups. Jap. J. Math.5, 349–401 (1979)
[H2] Hashizume, M.: Whittaker models for representations with highest weights. Lectures on harmonic analysis on Lie groups and related topics (Strasbourg, 1979), 45–50, Lect. Math.14, Kinokuniya Book Store, Tokyo, 1982
[Ja] Jacquet, H.: Fonction de Whittaker associées aux groupes de Chevalley. Bull. Soc. Math. Fr.95, 243–309 (1967)
[Jo] Joseph, A.: Application de la théorie des anneaux aux algébres enveloppantes. Lecture Notes, Paris 1981
[Ka1] Kawanaka, N.: Fourier transforms of nilpotently supported invariant functions on a simple Lie algebra over a finite field. Invent. Math.69, 411–435 (1982)
[Ka2] Kawanaka, N.: Generalized Gelfand-Graev representations and Ennola duality. Adv. Stud. Pure Math.6, 1985, Algebraic Groups and Related Topics, pp. 175–206
[Ka3] Kawanaka, N.: Generalized Gelfand-Graev Representations of exceptional simple algebraic groups over a finite field I. Invent, Math.84, 575–616 (1986)
[Ka4] Kawanaka, N.: Shintani Lifting and Gelfand-Graev Representations. (Preprint to appear in the proceedings of 1986, AMS Summer Institute)
[Ko1] Kostant, B.: The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Am. J. Math.81, 973–1032 (1959)
[Ko2] Kostant, B.: On Whittaker vectors and representation theory. Invent. Math.48, 101–184 (1978)
[L] Lynch, T.E.: Generalized Whittaker vectors and representations theory. Thesis, M.I.T., 1979
[M] Matumoto, H.: Boundary value problems for Whittaker functions on real split semisimple Lie groups. Duke Math. J.53, 635–676 (1986)
[Sch] Schiffmann, G.: Intégrales d'entrelancement et fonction de Whittaker. Bull. Soc. Math. Fr.99, 3–72 (1971)
[Shd] Shahidi, F.: Whittaker models for real groups. Duke Math. J.47, 99–125 (1980)
[Slk] Shalika, J.: The multiplicity one theorem forGL(n). Ann. Math.100, 171–193 (1974)
[SS] Springer, T.A., Steinberg, R.: Conjugacy classes, in “Seminar on Algebraic Groups and Related Finite Groups,” Lect. Notes Math. 131, Part E. Berlin Heidelberg New York: Springer 1970
[V] Vogan Jr., D.A.: The orbit method and primitive ideals for semisimple Lie algebras. (To appear in Canadian Mathematical Society Conference Proceedings Vol. 5 (1986))
[Y] Yamashita, H.: On Whittaker vectors for generalized Gelfand-Graev representations of semisimple Lie groups. J. Math. Kyoto Univ.26, 263–298 (1986)
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Dedicated to Professor Nagayoshi Iwahori on his sixtieth birthday
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Matumoto, H. Whittaker vectors and associated varieties. Invent Math 89, 219–224 (1987). https://doi.org/10.1007/BF01404678
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DOI: https://doi.org/10.1007/BF01404678