On a $p$-adic vanishing theorem of Garland
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- by W. Casselman PDF
- Bull. Amer. Math. Soc. 80 (1974), 1001-1004
References
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1. A. Borel, Cohomologie de certains groupes discrets et Laplacien p-adique, Séminaire Bourbaki: 1973, Exposé 437.
- W. Casselman, The Steinberg character as a true character, Harmonic analysis on homogeneous spaces (Proc. Sympos. Pure Math., Vol. XXVI, Williams Coll., Williamstown, Mass., 1972) Amer. Math. Soc., Providence, R.I., 1973, pp. 413–417. MR 0338273
- W. Casselman and D. Wigner, Continuous cohomology and a conjecture of Serre’s, Invent. Math. 25 (1974), 199–211. MR 352333, DOI 10.1007/BF01389727
- Howard Garland, $p$-adic curvature and the cohomology of discrete subgroups of $p$-adic groups, Ann. of Math. (2) 97 (1973), 375–423. MR 320180, DOI 10.2307/1970829
- D. A. Každan, On the connection of the dual space of a group with the structure of its closed subgroups, Funkcional. Anal. i Priložen. 1 (1967), 71–74 (Russian). MR 0209390
- Jean-Pierre Serre, Cohomologie des groupes discrets, Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970) Ann. of Math. Studies, No. 70, Princeton Univ. Press, Princeton, N.J., 1971, pp. 77–169 (French). MR 0385006
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 1001-1004
- MSC (1970): Primary 20E40, 20G10, 20G25
- DOI: https://doi.org/10.1090/S0002-9904-1974-13611-6
- MathSciNet review: 0354933