Banach-Hecke algebras and $p$-adic Galois representations

P. Schneider; J. Teitelbaum

doi:10.4171/dms/4/19

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Banach-Hecke algebras and $p$-adic Galois representations

P. Schneider J. Teitelbaum

Year: 2006 Documenta mathematica series Pages: 631-684

DOI: 10.4171/dms/4/19

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Abstract

In this paper, we take some initial steps towards illuminating the (hypothetical) $p$-adic local Langlands functoriality principle relating Galois representations of a $p$-adic field $L$ and admissible unitary Banach space representations of $G(L)$ when $G$ is a split reductive group over $L$.

Keywords:

Mathematics Unitary state Galois module Pure mathematics Field (mathematics) Galois group Space (punctuation) Group (periodic table) Reductive group Banach space Algebra over a field Group theory Linguistics Physics Political science Quantum mechanics

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Advanced Algebra and Geometry

Physical Sciences → Mathematics → Mathematical Physics

Algebraic Geometry and Number Theory

Physical Sciences → Mathematics → Geometry and Topology

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Banach-Hecke algebras and $p$-adic Galois representations

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