Skip to main content
SpringerLink
Log in

Algebras of p-adic distributions and admissible representations

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bănică, C.: Une caracterisation de la dimension d’un faisceau analitique coherent. Compos. Math. 25, 101–108 (1972)

    Google Scholar 

  2. Björk, J.-E.: Filtered Noetherian Rings. In: Noetherian rings and their applications. Math. Surv. Monogr. 24, pp. 59–97. AMS 1987

  3. Bosch, S., Güntzer, U., Remmert, R.: Non-Archimedean Analysis. Berlin Heidelberg New York: Springer 1984

  4. Bourbaki, N.: Commutative Algebra. Paris: Hermann 1972

  5. Bourbaki, N.: General Topology. Chap. 1–4. Berlin Heidelberg New York: Springer 1989

  6. Bourbaki, N.: Topological Vector Spaces. Berlin Heidelberg New York: Springer 1987

  7. Bruns, W., Herzog, J.: Cohen-Macaulay rings. Cambridge Univ. Press 1993

  8. Dixon, J.D., du Sautoy, M.P.F., Mann, A., Segal, D.: Analytic Pro-p-Groups. Cambridge Univ. Press 1999

  9. 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, pp. 1–111 (1999)

  10. Forster, O.: Zur Theorie der Steinschen Algebren und Moduln. Math. Z. 97, 376–405 (1967)

    MATH  Google Scholar 

  11. Grothendieck, A., Dieudonné, J.: Éléments de géométrie algébrique. Chap. III. Publ. Math., Inst. Hautes Étud. Sci. 11 (1961)

  12. Lazard, M.: Groupes analytiques p-adique. Publ. Math., Inst. Hautes Étud. Sci. 26, 389–603 (1965)

    Google Scholar 

  13. Li Huishi, van Oystaeyen, F.: Zariskian Filtrations. Dordrecht: Kluwer 1996

  14. McConnell, J.C., Robson, J.C.: Noncommutative noetherian rings. Chichester: Wiley 1987

  15. Popescu, N.: Abelian Categories with Applications to Rings and Modules. London New York: Academic Press 1973

  16. Schneider, P.: Nonarchimedean Functional Analysis. Berlin Heidelberg New York: Springer 2001

  17. Schneider, P., Teitelbaum, J.: U(𝔤)-finite locally analytic representations. Represent. Theory 5, 111–128 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  18. Schneider, P., Teitelbaum, J.: Locally analytic distributions and p-adic representation theory, with applications to GL 2. J. Am. Math. Soc. 15, 443–468 (2002)

    Google Scholar 

  19. Schneider, P., Teitelbaum, J.: Banach space representations and Iwasawa theory. Isr. J. Math. 127, 359–380 (2002)

    MathSciNet  MATH  Google Scholar 

  20. Schneider, P., Teitelbaum, J.: p-adic Fourier theory. Documenta Math. 6, 447–481 (2001)

    MathSciNet  MATH  Google Scholar 

  21. Schneider, P., Teitelbaum, J.: p-adic boundary values. In: Cohomologies p-adiques et applications arithmétiques (I) (Eds. Berthelot/Fontaine/Illusie/Kato/Rapoport). Astérisque 278, 51–125 (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, D-48149, Münster, Germany

    Peter Schneider

  2. Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan St., IL 60607, Chicago, USA

    Jeremy Teitelbaum

Authors
  1. Peter Schneider
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jeremy Teitelbaum
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Peter Schneider or Jeremy Teitelbaum.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schneider, P., Teitelbaum, J. Algebras of p-adic distributions and admissible representations. Invent. math. 153, 145–196 (2003). https://doi.org/10.1007/s00222-002-0284-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00222-002-0284-1

Keywords

Search

Navigation