@article{PMIHES_1997__85__97_0, author = {Schneider, Peter and Stuhler, Ulrich}, title = {Representation theory and sheaves on the {Bruhat-Tits} building}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {97--191}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {85}, year = {1997}, mrnumber = {98m:22023}, zbl = {0892.22012}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1997__85__97_0/} }
TY - JOUR AU - Schneider, Peter AU - Stuhler, Ulrich TI - Representation theory and sheaves on the Bruhat-Tits building JO - Publications Mathématiques de l'IHÉS PY - 1997 SP - 97 EP - 191 VL - 85 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1997__85__97_0/ LA - en ID - PMIHES_1997__85__97_0 ER -
%0 Journal Article %A Schneider, Peter %A Stuhler, Ulrich %T Representation theory and sheaves on the Bruhat-Tits building %J Publications Mathématiques de l'IHÉS %D 1997 %P 97-191 %V 85 %I Institut des Hautes Études Scientifiques %U http://archive.numdam.org/item/PMIHES_1997__85__97_0/ %G en %F PMIHES_1997__85__97_0
Schneider, Peter; Stuhler, Ulrich. Representation theory and sheaves on the Bruhat-Tits building. Publications Mathématiques de l'IHÉS, Volume 85 (1997), pp. 97-191. http://archive.numdam.org/item/PMIHES_1997__85__97_0/
[Au1] Théorie de Mackey généralisée : Un théorème de décomposition, Preprint, 1992.
,[Au2] Dualité dans le groupe de Grothendieck de la catégorie des représentations lisses de longueur finie d'un groupe réductif p-adique, Transact. AMS 347 (1995), 2179-2189 ; Erratum, ibid. 348 ( ). | Zbl
,[Ber] Le " centre " de Bernstein, in Bernstein, Deligne, Kazhdan, Vigneras, Représentations des groupes réductifs sur un corps local, Paris, Hermann, 1984. | MR | Zbl
,[Be2] On the support of Plancherel measure, J. Geom. Physics 5 (1988), 663-710. | MR | Zbl
,[BDK] Trace Paley-Wiener theorem for reductive p-adic groups, J. d'analyse math. 47 (1986), 180-192. | MR | Zbl
, , ,[BZ] Induced representations of reductive p-adic groups I, Ann. sci. ENS 10 (1977), 441-472. | Numdam | MR | Zbl
, ,[Bla] Projectifs dans la catégorie des G-modules topologiques, C. R. Acad. Sci. Paris 289 (1979), 161-163. | MR | Zbl
,[Bor] Linear Algebraic Groups, 2nd Enlarged Edition, Berlin-Heidelberg-New York, Springer 1991. | MR | Zbl
,[BH] Existence of discrete cocompact subgroups of reductive groups over local fields, J. reine angew. Math. 298 (1978), 53-64. | MR | Zbl
, ,[BS] Cohomologie d'immeubles et de groupes S-arithmétiques, Topology 15 (1976), 211-232. | MR | Zbl
, ,[BoT] Groupes réductifs, Publ. Math. IHES 27 (1965), 55-152. | Numdam | MR | Zbl
, ,[BW] Continuous cohomology, discrete subgroups, and representations of reductive groups, in Ann. Math. Studies 94, Princeton Univ. Press, 1980. | MR | Zbl
, ,[Bou] Groupes et algèbres de Lie, Chap. 4-6, Paris, Masson, 1981. | Zbl
,[Bo2] Topologie générale, Chap. 5-10, Paris, Hermann, 1974. | Zbl
,[Bro] Buildings, Berlin-Heidelberg-New York, Springer, 1989. | MR | Zbl
,[BT] Groupes réductifs sur un corps local I. Données radicielles valuées, Publ. Math. IHES 41 (1972), 5-251 ; II. Schémas en groupes. Existence d'une donnée radicielle valuée, Publ. Math. IHES 60 (1984), 5-184. | Numdam | MR | Zbl
, ,[Car] Representations of p-adic groups : A survey, in Automorphic Forms, Representations and L-Functions, Proc. Symp. Pure Math. 33 (1), 111-155, American Math. Soc., 1979. | MR | Zbl
,[Cas] Introduction to the theory of admissible representations of p-adic reductive groups, Preprint.
,[Ca2] A new non-unitary argument for p-adic representations, J. Fac. Sci. Univ. Tokyo 28 (1981), 907-928. | MR | Zbl
,[Clo] Invariant harmonic analysis on the Schwartz space of a reductive p-adic group, in Harmonic Analysis on Reductive Groups (Eds. Barker, Sally), Progress in Math. 101, 101-121, Boston-Basel-Berlin, Birkhäuser, 1991. | MR | Zbl
,[CLT] Spherical Buildings and the Character of the Steinberg Representation, Invent. Math. 58 (1980), 201-210. | MR | Zbl
, , ,[CR] Representation Theory of Finite Groups and Associative Algebras, New York-London, J. Wiley, 1962. | MR | Zbl
, ,[DL] Duality for Representations of a Reductive Group over a Finite Field I, J. Algebra 74 (1982), 284-291. | MR | Zbl
, ,[Dix] C*-Algebras, Amsterdam, North-Holland, 1982.
,[Dol] Lectures on Algebraic Topology, Berlin-Heidelberg-New York, Springer, 1980. | MR | Zbl
,[GZ] Calculus of Fractions and Homotopy Theory, Berlin-Heidelberg-New York, Springer, 1967. | MR | Zbl
, ,[God] Topologie algébrique et théorie des faisceaux, Paris, Hermann, 1964.
,[HCD] Harmonic Analysis on Reductive p-adic Groups, Lect. Notes Math., vol. 162, Berlin-Heidelberg-New York, Springer, 1970. | MR | Zbl
, ,[Har] Residues and duality, Lect. Notes Math., vol. 20, Berlin-Heidelberg-New York, Springer, 1966. | MR | Zbl
,[Hat] Rank element of a projective module, Nagoya J. Math. 25 (1965), 113-120. | MR | Zbl
,[KS] Sheaves on Manifolds, Berlin-Heidelberg-New York, Springer, 1990. | MR | Zbl
, ,[Kat] Duality for representations of a Hecke algebra, Proc. AMS 119 (1993), 941-946. | MR | Zbl
,[Ka1] Cuspidal geometry of p-adic groups, J. d'analyse math. 47 (1986), 1-36. | MR | Zbl
,[Ka2] Representations of groups over close local fields, J. d'analyse math. 47 (1986), 175-179. | MR | Zbl
,[Kot] Tamagawa numbers, Ann. Math. 127 (1988), 629-646. | MR | Zbl
,[MP] Unrefined minimal K-types for p-adic groups, Invent. math. 116 (1994), 393-408. | MR | Zbl
, ,[PR] Topological central extensions of semi-simple groups over local fields, Ann. Math. 119 (1984), 143-201. | Zbl
, ,[Pro] The Zelevinsky Duality Conjecture for GLN, Thesis, King's College, London, 1994.
,[Rog] An application of the building to orbital integrals, Compositio Math. 42 (1981), 417-423. | Numdam | MR | Zbl
,[SS] Resolutions for smooth representations of the general linear group over a local field, J. reine angew. Math. 436 (1993), 19-32. | MR | Zbl
, ,[Ser] Cohomologie des groupes discrets, in Prospects in Mathematics, Ann. Math. Studies 70, 77-169, Princeton Univ. Press, 1971. | MR | Zbl
,[Sil] Introduction to harmonic analysis on reductive p-adic groups, Princeton Univ. Press, 1979. | MR | Zbl
,[Tit] Reductive groups over local fields, in Automorphic Forms, Representations and L-Functions, Proc. Symp. Pure Math. 33 (1), 29-69, American Math. Soc., 1979. | MR | Zbl
,[Vig] On formal dimensions for reductive p-adic groups, in Festschrift in honor of I. I. Piatetski-Shapiro (Eds. Gelbart, Howe, Sarnak), Part I, 225-266, Israel Math. Conf. Proc. 2, Jerusalem, Weizmann Science Press, 1990. | MR | Zbl
,[Zel] Induced representations of reductive p-adic groups II, Ann. Sci. ENS 13 (1980), 165-210. | Numdam | MR | Zbl
,