@article{ASENS_1986_4_19_3_335_0, author = {Tadi\'c, Marko}, title = {Classification of unitary representations in irreducible representations of general linear group {(non-Archimedean} case)}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {335--382}, publisher = {Elsevier}, volume = {Ser. 4, 19}, number = {3}, year = {1986}, doi = {10.24033/asens.1510}, mrnumber = {88b:22021}, zbl = {0614.22005}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1510/} }
TY - JOUR AU - Tadić, Marko TI - Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case) JO - Annales scientifiques de l'École Normale Supérieure PY - 1986 SP - 335 EP - 382 VL - 19 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1510/ DO - 10.24033/asens.1510 LA - en ID - ASENS_1986_4_19_3_335_0 ER -
%0 Journal Article %A Tadić, Marko %T Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case) %J Annales scientifiques de l'École Normale Supérieure %D 1986 %P 335-382 %V 19 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.24033/asens.1510/ %R 10.24033/asens.1510 %G en %F ASENS_1986_4_19_3_335_0
Tadić, Marko. Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case). Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 19 (1986) no. 3, pp. 335-382. doi : 10.24033/asens.1510. http://www.numdam.org/articles/10.24033/asens.1510/
[1] All Reductive p-adic Groups Are Tame (Funct. Anal. Appl., Vol. 8, 1974, pp. 91-93). | MR | Zbl
,[2] P-Invariant Distributions on GL (N) and the Classification of Unitary Representations of GL (N) (Non-Archimedean Case), in Lie Group Representations II (Proceedings, University of Maryland, 1982-1983, Lecture Notes in Math., Vol. 1041, Springer-Verlag, Berlin, 1984, pp. 50-102). | Zbl
,[3] Représentations des groupes réductifs sur un corps local, Hermann, Paris, 1984. | Zbl
, , and ,[4] 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 (= Russian Math. Surveys, Vol. 31, No. 3, 1976, pp. 1-68)]. | Zbl
and ,[5] Induced Representations of Reductive p-adic Groups, I (Ann. Scient. Éc. Norm. Sup., Vol. 10, 1977, pp. 441-472). | Numdam | MR | Zbl
and ,[6] Representations of p-adic Groups : a Survey, in Proc. Sympos. Pure Math., Vol. XXXIII, part 1, Amer. Math. Soc., Providence, R. I., 1979, pp. 111-155. | MR | Zbl
,[7] Introduction to the Theory of Admissible Representations of p-adic Reductive Groups, preprint.
,[8] Computation of Certain Induced Characters of p-adic Groups (Math. Ann., Vol. 199, 1972, pp. 229-240). | MR | Zbl
,[9] Decomposition of Representations into Tensor Products, in Proc. Sympos. Pure Math., Vol. XXXIII, part I, Amer. Math. Soc., Providence, R. I., 1979, pp. 179-183. | MR | Zbl
,[10] Representations of a Group of the Second Order with Elements from a Locally Compact Field (Russian Math. Surveys, Vol. 18, 1963, pp. 29-100). | MR | Zbl
and ,[11] Automorphic Functions and Representation Theory, W. B. Sannders Co., Philadelphia, 1969. | Zbl
, and ,[12] Representations of GL (n, K), in Lie Groups and Their Representations, Akademiai Kiado, Budapest, 1974, pp. 95-118. | Zbl
and ,[13] Unitare Darstellungen der Klassichen Gruppen, German translation, Akademie Verlag, Berlin, 1957. | Zbl
and ,[14] Generic Representations, in Non-Commutative Harmonic Analysis (Lecture Notes in Math., Vol. 587, Springer-Verlag, Berlin, 1977, pp. 91-101). | MR | Zbl
,[15] Principal L-functions of the linear group, in Proc. Sympos. Pure Math., Vol. XXXIII, part 2, Amer. Math. Soc., Providence, R. I., 1979, pp. 63-86. | MR | Zbl
,[16] On the Residual Spectrum of GL(n), in Lie Group Representations II (Proceedings, University of Maryland, 1982-1983, Lecture Notes in Math., Vol. 1041, Springer-Verlag, Berlin, 1984, pp. 185-208). | MR | Zbl
,[17] Status of Classification of Irreducible Unitary Representations, in Harmonic Analysis (Proceedings, Minneapolis, 1981, Lecture Notes in Math., Vol. 908, Springer-Verlag, Berlin, 1982). | Zbl
and ,[18] On C*-Algebras with Bounded Trace (Glasnik Mat., Vol. 8, (28), 1973, pp. 7-22). | MR | Zbl
,[19] Sur l'involution de Zelevinsky, preprint, Paris, 1985.
and ,[20] 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).
,[21] Représentations de GL (n, k) où k est un corps p-adique [Séminaire Bourbaki, n° 587, 1982, (Astérisque, 92-93, 1982, pp. 201-218)]. | Numdam | MR | Zbl
,[22] Representations of GL (n) and Division Algebras Over a p-adic Field (Duke Math. J., Vol. 50, 1983, pp. 161-196). | MR | Zbl
,[23] The Unitary Dual of GL (3, ℝ) and GL (4, ℝ) (Math. Ann., Vol. 258, 1981, pp. 113-133). | MR | Zbl
,[24] Unitary Representations of GL (n, ℝ) with Non-Trivial (g, K) Cohomology (Invent. Math., Vol. 71, 1983, pp. 443-465). | MR | Zbl
,[25] Analysis in Matrix Spaces and Some New Representations of SL (N, ℂ) (Ann. of Math., Vol. 86, 1967, pp. 461-490). | MR | Zbl
,[26] The C*-algebra of SL (2, k) (Glasnik Mat., Vol. 17, (37), 1982, pp. 249-263). | MR | Zbl
,[27] The Topology of the Dual Space of a Reductive Group Over a Local Field (Glasnik Mat., 18, (38), 1983, pp. 259-279). | MR | Zbl
,[28] Proof of a Conjecture of Bernstein, (Math. Ann., Vol. 272, 1985, pp. 11-16). | MR | Zbl
,[29] Unitary Dual of p-Adic GL (n). Proof of Bernstein Conjectures, (Bull. Amer. Math. Soc., Vol. 13, No. 1, 1985, pp. 39-42). | MR | Zbl
,[30] Unitary Representations of General Linear Group Over Real and Complex Field, preprint, Bonn, 1985.
,[31] Understanding the Unitary Dual, in Lie Group Representations I (Proceedings, University of Maryland, 1982-1983, Lecture Notes in Math., Vol. 1024, Springer-Verlag, Berlin 1983, pp. 264-286). | MR | Zbl
, Jr.,[32] Representations of Reductive Lie Groups, in Proc. Sympos. Pure Math., Vol. XXXIII, part 1, Amer. Math. Soc., Providence, R. I., 1979, pp. 71-86). | MR | Zbl
,[33] Induced representations of reductive p-adic groups II (Ann. Scient. Éc. Norm. Sup., Vol. 13, 1980, pp. 165-210). | Numdam | MR | Zbl
,[34] p-adic analogue of the Kazhdan-Lusztig conjecture (Funct. Anal. Appl., Vol. 15, 1981, pp. 83-92). | MR | Zbl
,[35] Algèbres de Hecke et induites de représentations cuspidales, pour GL (N) (Journal für die Reine und angewandte Matematik, No. 370, 1986, pp. 127-191). | MR | Zbl
,Cité par Sources :