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References
Borel, A.: Cohomologie de certains groupes discrets et laplacienp-adique. Sém. Bourbaki 26ème année (1973/74), Exp. 437, 24p
Borel, A., Serre, J-P.: Cohomologie à supports compacts des immeubles de Bruhat-Tits: application à la cohomologie des groupesS-arithmétiques. C.R. Acad. Sci. Paris272, 110–113 (1971)
Borel, A., Serre, J-P.: Cohomologie d'immeubles et de groupesS-arithmétiques. A paraître dans Topology
Bourbaki, N.: Groupes et algèbres de Lie, Chap. IV, V, VI, Sci. Sci. Ind. 1337: Paris: Hermann 1968
Bruhat, F., Tits, J.: Groupes réductifs sur un corps local. Chap. I. Publ. Math. I.H.E.S.41, 1–251 (1972)
Casselman, W.: The Steinberg character as a true character. Harmonic analysis on homogeneous spaces. Proc. Symp. pur. math.26, 413–417 (1974)
Casselman, W.: Introduction to the theory of admissible representations of\(\mathfrak{P}\)-adic reductive groups. To appear
Casselman, W.: On ap-adic vanishing theorem of Garland. Bull. A.M.S.80, 1001–1004 (1974)
Garland, H.:p-adic curvature and the cohomology of discrete subgroups ofp-adic groups. Annals of Math.97 (2), 375–423 (1973)
Higman, D. G.: Induced and produced modules. Canadian J.M.VII, 490–508 (1955)
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)
MacDonald, I.G.: The Poincaré series of a Coxeter group. Math. Annalen199, 161–174 (1972)
Matsumoto, H.: Fonctions sphériques sur un groupe semi-simplep-adique. C.R. Acad. Sci. Paris269, 829–832 (1969)
Matsumoto, H.: Analyse harmonique dans certains systèmes 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
Serre, J-P.: Cohomologie des groupes discrets. Prospects in Mathematics, Annals of Math. Studies 70. Princeton: Princeton University Press 1970
Shalika, J. A.: On the space of cusp forms of ap-adic Chevalley group. Annals of Math.92 (2), 262–278 (1970)
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Borel, A. Admissible representations of a semi-simple group over a local field with vectors fixed under an iwahori subgroup. Invent Math 35, 233–259 (1976). https://doi.org/10.1007/BF01390139
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DOI: https://doi.org/10.1007/BF01390139