Multiplicity one for the Gelfand-Graev representation of a linear group
Ramakrishnan, Dinakar
Compositio Mathematica, Tome 47 (1982), p. 3-14 / Harvested from Numdam
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Publié le : 1982-01-01
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     author = {Ramakrishnan, Dinakar},
     title = {Multiplicity one for the Gelfand-Graev representation of a linear group},
     journal = {Compositio Mathematica},
     volume = {47},
     year = {1982},
     pages = {3-14},
     mrnumber = {648659},
     zbl = {0487.22012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1982__45_1_3_0}
}

Ramakrishnan, Dinakar. Multiplicity one for the Gelfand-Graev representation of a linear group. Compositio Mathematica, Tome 47 (1982) pp. 3-14. http://gdmltest.u-ga.fr/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 0348.43007

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

[3] J. Dixmier: C*-algebras. North Holland Publishing Co. (1977). | MR 458185 | Zbl 0372.46058

[4] J. Dixmier and P. Malliavin: Factorisations de fonctions et de vecteurs differentiables. Bull. Soc. Math. France, 102, No. 4 (1978). | MR 517765 | Zbl 0392.43013

[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 0119.26902

[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 0348.22011

[7] A. Grothendieck: Produits tensoriels topologiques et espaces nucleaires. Mem. Am. Math. Soc., 16 (1955). | MR 75539 | Zbl 0123.30301

[8] H. Jacquet: Generic representations. Non-commutative Harmonic Analysis, Marseille-Luminy (1976). | MR 499005 | Zbl 0357.22010

[9] H. Jacquet and R.P. Langlands: Automorphic Forms on GL(2), Springer Lecture Notes, 114 (1970). | MR 401654 | Zbl 0236.12010

[10] B. Kostant: On Whittaker vectors and representation theory. Inventiones Mathematicae, 48 (1978) 101-184. | MR 507800 | Zbl 0405.22013

[11] G. Mackey: The Theory of Unitary Group Representations. University of Chicago Press, Chicago (1976). | MR 396826 | Zbl 0344.22002

[12] K. Maurin: Unitary Representations of Topological Groups. Polish Scientific Publishers, Warszawa (1968). | MR 247377 | Zbl 0185.39001

[13] Pjateckii-Shapiro: Euler Subgroups, in Lie Groups and Representations. I.M. Gelfand, Ed., Halstead Press (1971) 597-620. | MR 406935 | Zbl 0329.20028

[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 546599 | Zbl 0423.22017

[15] A. Pietsch: Nukleare localkonvexe räume, Berlin (1965). | Zbl 0152.32302

[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 0287.22016

[18] J.A. Shalika: Multiplicity one theorem for GL(n). Annals of Math., 100, No. 1 (1974) 171-193. | MR 348047 | Zbl 0316.12010