@article{ASENS_2006_4_39_5_775_0, author = {Emerton, Matthew}, title = {Jacquet modules of locally analytic representations of $p$-adic reductive groups {I.} {Construction} and first properties}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {775--839}, publisher = {Elsevier}, volume = {Ser. 4, 39}, number = {5}, year = {2006}, doi = {10.1016/j.ansens.2006.08.001}, zbl = {05137697}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.ansens.2006.08.001/} }
TY - JOUR AU - Emerton, Matthew TI - Jacquet modules of locally analytic representations of $p$-adic reductive groups I. Construction and first properties JO - Annales scientifiques de l'École Normale Supérieure PY - 2006 SP - 775 EP - 839 VL - 39 IS - 5 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.ansens.2006.08.001/ DO - 10.1016/j.ansens.2006.08.001 LA - en ID - ASENS_2006_4_39_5_775_0 ER -
%0 Journal Article %A Emerton, Matthew %T Jacquet modules of locally analytic representations of $p$-adic reductive groups I. Construction and first properties %J Annales scientifiques de l'École Normale Supérieure %D 2006 %P 775-839 %V 39 %N 5 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.ansens.2006.08.001/ %R 10.1016/j.ansens.2006.08.001 %G en %F ASENS_2006_4_39_5_775_0
Emerton, Matthew. Jacquet modules of locally analytic representations of $p$-adic reductive groups I. Construction and first properties. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 39 (2006) no. 5, pp. 775-839. doi : 10.1016/j.ansens.2006.08.001. http://archive.numdam.org/articles/10.1016/j.ansens.2006.08.001/
[1] Ash A., Stevens G., p-Adic deformations of arithmetic cohomology, Preprint. | MR
[2] Non-Archimedean Analysis, Springer, Berlin, 1984. | MR | Zbl
, , ,[3] Elements of Mathematics. Topological Vector Spaces, Springer, Berlin, 1987, (Chapters 1-5). | MR | Zbl
,[4] Representations of -adic groups: A survey, in: Automorphic Forms, Representations, and L-Functions, Part 1, Proc. Symp. Pure Math., vol. 33, Amer. Math. Soc., Providence, RI, 1979, pp. 111-155. | MR | Zbl
,[5] Introduction to the theory of admissible representations of p-adic reductive groups, unpublished notes distributed by P. Sally, draft dated May 7, 1993. Available electronically at, http://www.math.ubc.ca/people/faculty/cass/research.html.
,[6] P-adic Banach spaces and families of modular forms, Invent. Math. 127 (1997) 417-479. | MR | Zbl
,[7] The eigencurve, in: , (Eds.), Galois Representations in Arithmetic Algebraic Geometry (Durham, 1996), London Math. Soc. Lecture Note Ser., vol. 254, Cambridge University Press, Cambridge, 1998, pp. 1-113. | MR | Zbl
, ,[8] Locally analytic vectors in representations of locally p-adic analytic groups, Mem. Amer. Math. Soc., in press. Available electronically at, http://www.math.northwestern.edu/~emerton.
,[9] On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms, Invent. Math. 164 (2006) 1-84. | MR | Zbl
,[10] Locally analytic representation theory of p-adic reductive groups: A summary of some recent developments, in: Burns D., Buzzard K., Nekovar J. (Eds.), Proceedings of a Symposium on L-Functions and Galois Representations (Durham, 2004), in press. Available electronically at, http://www.math.northwestern.edu/~emerton. | Zbl
,[11] Emerton M., Jacquet modules of locally analytic representations of p-adic reductive groups II. The relation to parabolic induction, in preparation.
[12] Féaux de Lacroix C.T., Einige Resultate über die topologischen Darstellungen p-adischer Liegruppen auf unendlich dimensionalen Vektorräumen über einem p-adischen Körper, Thesis, Köln 1997, Schriftenreihe Math. Inst. Univ. Münster, 3. Serie, Heft 23, 1999, pp. 1-111. | MR | Zbl
[13] Representation Theory of Semisimple Groups. An Overview Based on Examples, Princeton University Press, Princeton, NJ, 1986. | MR | Zbl
,[14] Locally algebraic representations of p-adic groups, Appendix to [18], Represent. Theory 5 (2001) 125-127. | MR
,[15] Nonarchimedean Functional Analysis, Springer Monographs in Math., Springer, Berlin, 2002. | MR | Zbl
,[16] p-adic boundary values, Astérisque 278 (2002) 51-123. | Numdam | MR | Zbl
, ,[17] Locally analytic distributions and p-adic representation theory, with applications to , J. Amer. Math. Soc. 15 (2001) 443-468. | MR | Zbl
, ,[18] -finite locally analytic representations, Represent. Theory 5 (2001) 111-128. | MR | Zbl
, ,[19] Banach space representations and Iwasawa theory, Israel J. Math. 127 (2002) 359-380. | MR | Zbl
, ,[20] Algebras of p-adic distributions and admissible representations, Invent. Math. 153 (2003) 145-196. | MR | Zbl
, ,[21] Endomorphismes complètement continus des espaces de Banach p-adiques, Publ. Math. IHÉS 12 (1962) 69-85. | EuDML | Numdam | MR | Zbl
,[22] Lie Algebras and Lie Groups, W.A. Benjamin, 1965. | MR | Zbl
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