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Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. (English) Zbl 0334.22012

MSC:
22E50 Representations of Lie and linear algebraic groups over local fields
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References:
[1] Borel, A.: Cohomologie de certains groupes discrets et laplacienp-adique. S?m. Bourbaki 26?me ann?e (1973/74), Exp. 437, 24p
[2] Borel, A., Serre, J-P.: Cohomologie ? supports compacts des immeubles de Bruhat-Tits: application ? la cohomologie des groupesS-arithm?tiques. C.R. Acad. Sci. Paris272, 110-113 (1971) · Zbl 0263.14017
[3] Borel, A., Serre, J-P.: Cohomologie d’immeubles et de groupesS-arithm?tiques. A para?tre dans Topology
[4] Bourbaki, N.: Groupes et alg?bres de Lie, Chap. IV, V, VI, Sci. Sci. Ind. 1337: Paris: Hermann 1968
[5] Bruhat, F., Tits, J.: Groupes r?ductifs sur un corps local. Chap. I. Publ. Math. I.H.E.S.41, 1-251 (1972) · Zbl 0254.14017
[6] Casselman, W.: The Steinberg character as a true character. Harmonic analysis on homogeneous spaces. Proc. Symp. pur. math.26, 413-417 (1974)
[7] Casselman, W.: Introduction to the theory of admissible representations of \(\mathfrak{P}\) -adic reductive groups. To appear
[8] Casselman, W.: On ap-adic vanishing theorem of Garland. Bull. A.M.S.80, 1001-1004 (1974) · Zbl 0354.20033
[9] Garland, H.:p-adic curvature and the cohomology of discrete subgroups ofp-adic groups. Annals of Math.97 (2), 375-423 (1973) · Zbl 0262.22010
[10] Higman, D. G.: Induced and produced modules. Canadian J.M.VII, 490-508 (1955) · Zbl 0065.26001
[11] Iwahori, N., Matsumoto, H.: On some Bruhat decompositions and the structure of the Hecke rings ofp-adic Chevalley groups. Publ. Math. I.H.E.S.25, 5-48 (1965) · Zbl 0228.20015
[12] MacDonald, I.G.: The Poincar? series of a Coxeter group. Math. Annalen199, 161-174 (1972) · Zbl 0286.20062
[13] Matsumoto, H.: Fonctions sph?riques sur un groupe semi-simplep-adique. C.R. Acad. Sci. Paris269, 829-832 (1969) · Zbl 0189.44802
[14] Matsumoto, H.: Analyse harmonique dans certains syst?mes de Coxeter et de Tits. Analyse sur les harmonique et groupes de Lie. Lecture Notes in Math.497, 257-276. Berlin-Heidelberg-New York: Springer 1975
[15] Serre, J-P.: Cohomologie des groupes discrets. Prospects in Mathematics, Annals of Math. Studies 70. Princeton: Princeton University Press 1970 · Zbl 0229.57016
[16] Shalika, J. A.: On the space of cusp forms of ap-adic Chevalley group. Annals of Math.92 (2), 262-278 (1970) · Zbl 0217.37001
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