Bushnell, Colin J.; Kutzko, Philip C.
The admissible dual of SL (N). I
Annales scientifiques de l'École Normale Supérieure, Série 4 : Tome 26 (1993) no. 2 , p. 261-280
Zbl 0787.22017 | MR 94a:22033 | 2 citations dans Numdam
doi : 10.24033/asens.1672
URL stable : http://www.numdam.org/item?id=ASENS_1993_4_26_2_261_0


[BZ] I. N. Bernstein and A. V. Zelevinsky, Induced Representations of Reductive p-Adic Groups (Ann. Scient. Ec. Norm. Sup., 4e Sér., Vol. 10, pp. 441-472). Numdam | MR 58 #28310 | Zbl 0412.22015

[Bo] A. Borel, Admissible Representations of a Semisimple Group Over a Local Field with Vectors Fixed Under an Iwahori Subgroup (Invent. Math., Vol. 35, 1976, pp. 233-259). MR 56 #3196 | Zbl 0334.22012

[Bu] C. J. Bushnell, Hereditary orders, Gauss Sums and Supercuspidal Representations of GLN (J. reine angew. Math., Vol. 375-376, 1987, pp. 184-210). MR 88e:22024 | Zbl 0601.12025

[BF] C. J. Bushnell and A. Fröhlich, Non-Abelian Congruence Gauss Sums and p-Adic Simple Algebras (Proc. London Math. Soc., (3), Vol. 50, 1985, pp. 207-264). Zbl 0558.12007

[BK] C. J. Bushnell and P. C. Kutzko, The Admissible Dual of GL (N) via Compact Open Subgroups (Ann. Math. Studies, No. 129, Princeton University Press, 1992). MR 94h:22007 | Zbl 0787.22016

[Ca] H. Carayol, Représentations cuspidales du groupe linéaire (Ann. Scient. Éc. Norm. Sup., 4e Sér., Vol. 17, 1984, pp. 191-225). Numdam | MR 86f:22019 | Zbl 0549.22009

[C] L. Clozel, Invariant Harmonic Analysis on the Schwartz Space of a Reductive p-Adic Group. Harmonic Analysis on Reductive Groups, W. BARKER and P. SALLY Eds. (Progr. Math., No. 101, 1991, pp. 101-121). MR 93h:22020 | Zbl 0760.22023

[GK1] S. S. Gelbart and A. W. Knapp, Irreducible Constituents of Principal Series of SLn (k) (Duke Math. J., Vol. 48, 1981, pp. 313-326). MR 82j:22018 | Zbl 0473.22010

[GK2] S. S. Gelbart and A. W. Knapp, L-Indistinguishability and R-Groups for the Special Linear Group (Adv. Math., Vol. 43, 1982, pp. 101-121). MR 83j:22009 | Zbl 0493.22005

[H] R. E. Howe, Some Qualitative Results on the Representation Theory of GLn Over a p-Adic Local Field (Pacific J. Math., Vol. 73, 1977, pp. 479-538). MR 58 #11242 | Zbl 0385.22009

[Iw] N. Iwahori, Generalised Tits Systems (Bruhat Decomposition) on p-Adic Semisimple Groups. Algebraic Groups and Discontinuous Subgroups, A. BOREL and G. MOSTOW, Proc. Symposia Pure Math., IX, Am. Math. Soc., Providence, 1966, pp. 71-83. MR 35 #6693 | Zbl 0199.06901

[IM] N. Iwahori and H. Matsumoto, On Some Bruhat Decomposition and the Structure of the Hecke Rings of the p-Adic Chevalley Groups (Publ. Math. I.H.E.S., Vol. 25, 1965, pp. 5-48). Numdam | MR 32 #2486 | Zbl 0228.20015

[KS] P. C. Kutzko and P. J. Sally Jr., All Supercuspidal Representations of SLl Over a p-Adic Field are Induced. Representation Theory of Reductive Groups, Proceedings of the Utah Conference on Representation Theory (Progr. Math., No. 40, 1983). Zbl 0538.22011

[M] L. E. Morris, Tamely Ramified Intertwining Algebras, Preprint, 1991.

[MS] A. Moy and P. J. Sally Jr., Supercuspidal Representations of SLn Over a p-Adic Field : the Tame Case (Duke Math. J., Vol. 51, 1984, pp. 149-161). Zbl 0539.22014

[Re] I. Reiner, Maximal Orders, Academic Press, New York, 1975. MR 52 #13910 | Zbl 0305.16001

[T] M. Tadić, Notes on Representations of Non-Archimedean SL (n) (Pacific J. Math., Vol. 152, 1992, pp. 375-396). MR 92k:22029 | Zbl 0724.22017