Multiplicity one for the Gelfand-Graev representation of a linear group
Compositio Mathematica, Tome 45 (1982) no. 1, pp. 3-14. 
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Ramakrishnan, Dinakar. Multiplicity one for the Gelfand-Graev representation of a linear group. Compositio Mathematica, Tome 45 (1982) no. 1, pp. 3-14. http://www.numdam.org/item/CM_1982__45_1_3_0/

[1] I.N. Bernshtein and A.V. Zelevinsky: Representations of the group GL(n, F) where F is a non-archimedean local field. Russian Math. Surveys 31, No. 3 (1976) 1-68. | Zbl

[2] B. Blackadar: Thesis. University of California, Berkeley (1975).

[3] J. Dixmier: C*-algebras. North Holland Publishing Co. (1977). | MR | Zbl

[4] J. Dixmier and P. Malliavin: Factorisations de fonctions et de vecteurs differentiables. Bull. Soc. Math. France, 102, No. 4 (1978). | MR | Zbl

[5] I.M. Gelfand and M.I. Graev: Construction of irreducible representations of simple algebraic groups over finite fields. Soviet Math. Doklady, 3 (1962) 1642-1649. | Zbl

[6] I.M. Gelfand and D.A. Kajdan: Representation of GL(n, K) where K is a local field, in Lie Groups and Representations, I.M. Gelfand, Ed., Halstead Press (1971) 95-118. | Zbl

[7] A. Grothendieck: Produits tensoriels topologiques et espaces nucleaires. Mem. Am. Math. Soc., 16 (1955). | MR | Zbl

[8] H. Jacquet: Generic representations. Non-commutative Harmonic Analysis, Marseille-Luminy (1976). | MR | Zbl

[9] H. Jacquet and R.P. Langlands: Automorphic Forms on GL(2), Springer Lecture Notes, 114 (1970). | MR | Zbl

[10] B. Kostant: On Whittaker vectors and representation theory. Inventiones Mathematicae, 48 (1978) 101-184. | MR | Zbl

[11] G. Mackey: The Theory of Unitary Group Representations. University of Chicago Press, Chicago (1976). | MR | Zbl

[12] K. Maurin: Unitary Representations of Topological Groups. Polish Scientific Publishers, Warszawa (1968). | MR | Zbl

[13] Pjateckii-Shapiro: Euler Subgroups, in Lie Groups and Representations. I.M. Gelfand, Ed., Halstead Press (1971) 597-620. | MR | Zbl

[14] Pjateckii-Shapiro: Multiplicity One Theorems. Automorphic Forms, Representations and L-functions. A. Borel and W. Casselman, Eds., Proc. Symp. Pure Math., A.M.S., 33 (1979). | MR | Zbl

[15] A. Pietsch: Nukleare localkonvexe räume, Berlin (1965). | Zbl

[16] D. Ramakrishnan: The Gelfand-Graev representation of GL(n) over a local field. Thesis, Columbia University (1980).

[17] F. Rodier: Whittaker models for admissible representations, Harmonic Analysis on Homogeneous Spaces, Symp. Pure Math., A.M.S., 26 (1972). | Zbl

[18] J.A. Shalika: Multiplicity one theorem for GL(n). Annals of Math., 100, No. 1 (1974) 171-193. | MR | Zbl