Zelevinsky, A. V.
Induced representations of reductive 𝔭-adic groups. II. On irreducible representations of GL (n)
Annales scientifiques de l'École Normale Supérieure, Série 4 : Tome 13 (1980) no. 2 , p. 165-210
Zbl 0441.22014 | MR 83g:22012 | 40 citations dans Numdam
doi : 10.24033/asens.1379
URL stable : http://www.numdam.org/item?id=ASENS_1980_4_13_2_165_0

Bibliographie

[1] I. N. Bernstein and A. V. Zelevinsky, Induced Representations of Reductive p-Adic Groups I (Ann. scient. Éc. Norm. Sup., 4e serie, t. 10, 1977, pp. 441-472). Numdam | MR 58 #28310 | Zbl 0412.22015

[2] I. N. Bernstein and A. V. Zelevinsky, Representations of the Group GL (n, F), where F is a Local Non-Archimedean Field (Uspekhi Mat. Nauk, Vol. 31, No. 3, 1976, pp. 5-70). MR 54 #12988 | Zbl 0348.43007

[3] I. N. Bernstein and A. V. Zelevinsky, Induced Representations of the Group GL (n) Over a p-Adic Field (Funkc. Anal. i Priložen., Vol. 10, No. 3, 1976, pp. 74-75). MR 54 #12989

[4] I. N. Bernstein, I. M. Gelfand and S. I. Gelfand, The Structure of Representations Generated by Vectors of Highest Weight (Funkc. Anal. i Prilozen, Vol. 5, No. 1, 1971, pp. 1-9). MR 45 #298 | Zbl 0246.17008

[5] N. Bourbaki, Algèbre, Chap. 1 à 3, Hermann, Paris, 1970. Zbl 0211.02401

[6] W. Casselman, Introduction to the Theory of Admissible Representations of p-Adic Reductive Groups, preprint.

[7] P. Deligne, Formes modulaires et représentations de GL (2), in Modular Functions of One Variable II (Lecture Notes in Math., 349, Springer-Verlag, 1973). MR 50 #240 | Zbl 0271.10032

[8] I. M. Gelfand and D. A. Kazhdan, Representations of GL (n, K), in Lie Groups and Their Representations, Akadèmiai Kiado, Budapest, 1974.

[9] R. Godement and H. Jacquet, Zeta-Functions of Simple Algebras (Lecture Notes in Math., 260, Springer-Verlag, 1972). MR 49 #7241 | Zbl 0244.12011

[10] M. Hall, Combinatorial Theory, Blaisdell Publ. Comp., 1967. MR 37 #80 | Zbl 0196.02401

[11] A. W. Knapp and G. Zuckerman, Classification of Irreducible Tempered Representations of Semisimple Lie Groups (Proc. Nat. Acad. Sc. U.S.A., Vol. 73, No. 7, 1976, pp. 2178-2180. MR 57 #538 | Zbl 0329.22013

[12] R. Langlands, On the Classification of Irreducible Representations of Real Algebraic Groups, mimeographed notes, Inst. for Adv. Study, 1973.

[13] G. I. Olshansky, Intertwining Operators and Complementary Series in the Class of Representations of the General Group of Matrices Over a Locally Compact Division Algebra, Induced from Parabolic Subgroups (Mat. Sb., Vol. 93, No. 2, 1974, pp. 218-253).

[14] A. V. Zelevinsky, Classification of Irreducible Non-Cuspidal Representations of the Group GLn Over a p-Adic Field (Funkc. Anal. i Priložen, Vol. 11, No. 1, 1977, pp. 67-68). Zbl 0363.22012

[15] A. V. Zelevinsky, The Representation Ring of Groups GL(n) Over a p-Adic Field (Funkc. Anal. i Priložen, Vol. 11, No. 3, 1977, pp. 78-79).