Borel, Armand Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. (English) Zbl 0334.22012 Invent. Math. 35, 233-259 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 113 Documents MSC: 22E50 Representations of Lie and linear algebraic groups over local fields × Cite Format Result Cite Review PDF Full Text: DOI EuDML 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 · doi:10.1090/S0002-9904-1974-13611-6 [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 · doi:10.2307/1970829 [10] Higman, D. G.: Induced and produced modules. Canadian J.M.VII, 490-508 (1955) · Zbl 0065.26001 · doi:10.4153/CJM-1955-052-4 [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 · doi:10.1007/BF01431421 [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 · doi:10.2307/1970837 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.