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Smooth Representations of p-adic Groups: The Role of Compact Open Subgroups

In: Proceedings of the International Congress of Mathematicians

Author

Listed:
  • Colin J. Bushnell

    (King’s College London, Department of Mathematics)

Abstract

This article concerns the method of investigating the smooth (complex) representations of a reductive p-adic group via the method of restriction to compact open subgroups, and amounts largely to a report on joint work of the author and Kutzko. Let G denote the group of F-points of some connected reductive algebraic group defined over the non-Archimedean local field F. The basic idea of the method is to isolate a family $$ F$$ of irreducible smooth representations of compact open subgroups of G, and then to describe a given irreducible smooth representation of G in terms of those members of $$ F$$ that it contains.

Suggested Citation

  • Colin J. Bushnell, 1995. "Smooth Representations of p-adic Groups: The Role of Compact Open Subgroups," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 770-779, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_70
    DOI: 10.1007/978-3-0348-9078-6_70
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