@article{ASENS_1998_4_31_3_361_0,
author = {Roche, Alan},
title = {Types and {Hecke} algebras for principal series representations of split reductive $p$-adic groups},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {361--413},
publisher = {Elsevier},
volume = {Ser. 4, 31},
number = {3},
year = {1998},
doi = {10.1016/s0012-9593(98)80139-0},
mrnumber = {99d:22028},
zbl = {0903.22009},
language = {en},
url = {http://www.numdam.org/articles/10.1016/s0012-9593(98)80139-0/}
}
TY - JOUR AU - Roche, Alan TI - Types and Hecke algebras for principal series representations of split reductive $p$-adic groups JO - Annales scientifiques de l'École Normale Supérieure PY - 1998 SP - 361 EP - 413 VL - 31 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(98)80139-0/ DO - 10.1016/s0012-9593(98)80139-0 LA - en ID - ASENS_1998_4_31_3_361_0 ER -
%0 Journal Article %A Roche, Alan %T Types and Hecke algebras for principal series representations of split reductive $p$-adic groups %J Annales scientifiques de l'École Normale Supérieure %D 1998 %P 361-413 %V 31 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(98)80139-0/ %R 10.1016/s0012-9593(98)80139-0 %G en %F ASENS_1998_4_31_3_361_0
Roche, Alan. Types and Hecke algebras for principal series representations of split reductive $p$-adic groups. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 3, pp. 361-413. doi : 10.1016/s0012-9593(98)80139-0. http://www.numdam.org/articles/10.1016/s0012-9593(98)80139-0/
[1] , Refined anisotropic K-types and supercuspidal representations. Pacific Journal of Mathematics, to appear. | Zbl
[2] and , An intertwining result for p-adic groups. Preprint.
[3] , Algebraic K-Theory, New York, 1968. | MR | Zbl
[4] , Le centre de Bernstein (rédigé par P. Deligne). (Représentations des groupes réductifs sur un corps local, Paris, 1984, pp. 1-32). | MR | Zbl
[5] and , Induced representations of reductive p-adic groups I (Ann. Scient. Éc. Norm. Sup., (4), Vol. 10, 1977, pp. 441-472). | Numdam | MR | Zbl
[6] , Admissible representations of a semisimple group with vectors fixed under an Iwahori subgroup (Invent. Math., Vol. 35, 1976, pp. 233-259). | MR | Zbl
[7] , Groupes et Algèbres de Lie. Chap. IV, V, VI. Hermann, 1968.
[8] and , Groupes réductifs sur un corps local I. Données radicielles valuées (Publ. Math. I.H.E.S., Vol. 42, 1972, pp. 1-251). | Numdam | MR | Zbl
[9] and , Groupes réductifs sur un corps local II. Schémas en groupes (Publ. Math. I.H.E.S., Vol. 60, 1984, pp. 1-184). | Numdam | Zbl
[10] and , The admissible dual of GL(N) via compact open subgroups. Annals of Math. Studies 129, Princeton University Press, 1993. | MR | Zbl
[11] and , Semisimple types for GL(N). Preprint.
[12] and , The admissible dual of SL(N) I (Ann. Scient. Éc. Norm. Sup., (4), Vol. 26, 1993, pp. 261-279). | Numdam | MR | Zbl
[13] and , Smooth representations of reductive p-adic groups : structure theory via types. Preprint, February 1996.
[14] , Representations of p-adic groups : A survey. Automorphic forms, representations and L-functions (A. Borel and W. Casselman, ed.). Proc Symposia Pure Math. XXXIII, (Providence, 1979), pp. 111-156. | MR | Zbl
[15] , The unramified principal series of p-adic groups I (Comp. Math., Vol. 40, 1980, pp. 387-406). | Numdam | MR | Zbl
[16] and , Representations of finite groups of Lie type. Cambridge University Press, 1991. | MR | Zbl
[17] , Hecke algebra isomorphisms for tamely ramified characters. Ph.D. thesis, University of Chicago, 1990.
[18] and , Induced cuspidal representations and generalised Hecke rings (Inv. Math., Vol. 58, 1980, pp. 37-64). | MR | Zbl
[19] with the collaboration of A. MOY, Harish-Chandra homomorphisms for p-adic groups. Regional Conference Series in Mathematics, no. 59. Providence, 1985. | MR | Zbl
[20] , Principal series of GLn over p-adic fields (Trans. Am. Math. Soc., Vol. 177, 1973, pp. 275-286). | MR | Zbl
[21] , Linear Algebraic Groups. Springer-Verlag, New York, 1975. | MR | Zbl
[22] , Reflection groups and Coxeter groups. Cambridge University Press, 1990. | MR | Zbl
[23] and , On Some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups (Publ. Math. I.H.E.S., Vol. 25, 1965, pp. 5-48). | Numdam | MR | Zbl
[24] and , Proof of the Deligne-Langlands conjecture for Hecke algebras (Invent. Math., Vol. 87, 1987, pp. 153-215). | MR | Zbl
[25] , On the classification of representations of real algebraic groups. Representation Theory and Harmonic Analysis on Semisimple Lie Groups (P. J. Sally Jr. and D. Vogan, eds.) Mathematical Surveys and Monographs 31, 101-170. Amer. Math. Soc., Providence, Rhode Island, 1989. | MR | Zbl
[26] , Classification of unipotent representations of simple p-adic groups (Internat. Math. Res. Notices No. 11, 1995, pp. 517-589). | MR | Zbl
[27] , Tamely ramified intertwining algebras (Invent. Math., Vol. 114, 1993, pp. 1-54). | MR | Zbl
[28] , Level zero G-types. Preprint, 1994.
[29] and , Jacquet functors and unrefined minimal K-types (Comm. Math. Helv., Vol. 71, 1996, pp. 98-121). | MR | Zbl
[30] , Nonstandard intertwining operators and the structure of unramified principal series representations (Forum. Math., Vol. 9, no. 4, 1997, pp. 457-516). | MR | Zbl
[31] , Ph.D. thesis, Rutgers University, 1994.
[32] , Reductive Groups. Automorphic forms, representations and L-functions (A. Borel and W. Casselman, ed.). Proc. Symposia in Pure Math. XXXIII, (Providence, 1979), pp. 3-27. | MR | Zbl
[33] and , Conjugacy Classes (Lecture Notes in Math., Vol. 131, Springer-Verlag, Berlin, 1970, pp. 167-266). | MR | Zbl
[34] , Endomorphisms of linear algebraic groups (Mem. Amer. Math. Soc., No. 80, 1968). | MR | Zbl
[35] , Torsion in reductive groups (Adv. Math., Vol. 15, 1975, pp. 63-92). | MR | Zbl
[36] , Representations of p-adic symplectic groups (Comp. Math., Vol. 90, 1994, pp. 123-181). | Numdam | MR | Zbl
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