Continuous representation theory of p-adic Lie groups

  title={Continuous representation theory of p-adic Lie groups},
  author={P. Schneider},
  • P. Schneider
  • Published 2006
  • Mathematics
  • In this paper we give an overview over the basic features of the continuous representation theory of p-adic Lie groups as it has emerged during the last five years. Themain motivation for developing such a theory is a possible extension of the local Langlands program to p-adic Galois representations. This is still very much in its infancy. But in the last section we will describe a first approximation to an extended Langlands functoriality principle for crystalline Galois representations. 
    18 Citations


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    Invariant distributions on $p$-adic analytic groups
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    Banach space representations and Iwasawa theory
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    First steps towards p-adic Langlands functoriality
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    Banach-Hecke algebras and p-adic Galois Representations
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    • Highly Influential
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    On period spaces for p-divisible groups
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    Duality for admissible locally analytic representations
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    Algebras of p-adic distributions and admissible representations
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