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, pp. 165-210.
@article{ASENS_1980_4_13_2_165_0,
     author = {Zelevinsky, A. V.},
     title = {Induced representations of reductive ${\mathfrak {p}}$-adic groups. {II.} {On} irreducible representations of ${\rm GL}(n)$},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {165--210},
     publisher = {Elsevier},
     volume = {Ser. 4, 13},
     number = {2},
     year = {1980},
     doi = {10.24033/asens.1379},
     mrnumber = {83g:22012},
     zbl = {0441.22014},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/asens.1379/}
}
TY  - JOUR
AU  - Zelevinsky, A. V.
TI  - Induced representations of reductive ${\mathfrak {p}}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1980
SP  - 165
EP  - 210
VL  - 13
IS  - 2
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.24033/asens.1379/
DO  - 10.24033/asens.1379
LA  - en
ID  - ASENS_1980_4_13_2_165_0
ER  - 
%0 Journal Article
%A Zelevinsky, A. V.
%T Induced representations of reductive ${\mathfrak {p}}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
%J Annales scientifiques de l'École Normale Supérieure
%D 1980
%P 165-210
%V 13
%N 2
%I Elsevier
%U http://www.numdam.org/articles/10.24033/asens.1379/
%R 10.24033/asens.1379
%G en
%F ASENS_1980_4_13_2_165_0
Zelevinsky, A. V. Induced representations of reductive ${\mathfrak {p}}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 13 (1980) no. 2, pp. 165-210. doi : 10.24033/asens.1379. http://www.numdam.org/articles/10.24033/asens.1379/

[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 | Zbl

[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 | Zbl

[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

[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 | Zbl

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

[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 | Zbl

[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 | Zbl

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

[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 | Zbl

[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

[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).

Cité par Sources :