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The cohomology of locally analytic representations
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Jan Kohlhaase
Published/Copyright:
December 20, 2010
Abstract
We develop a cohomology theory for locally analytic representations of p-adic Lie groups on nonarchimedean locally convex vector spaces. There are versions of Pontrjagin duality, Shapiro's lemma and a Hochschild-Serre spectral sequence. As an application, we give the definition of a supercuspidal locally analytic representation of a p-adic reductive group and study extensions between locally analytic principal series representations.
Received: 2008-06-27
Revised: 2010-04-08
Published Online: 2010-12-20
Published in Print: 2011-February
© Walter de Gruyter Berlin · New York 2011
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Articles in the same Issue
- On the theta series of p-th order
- Deformations of canonical pairs and Fano varieties
- Subnormal solutions of non-homogeneous periodic ODEs, special functions and related polynomials
- Determinants on von Neumann algebras, Mahler measures and Ljapunov exponents
- The cohomology of locally analytic representations
Articles in the same Issue
- On the theta series of p-th order
- Deformations of canonical pairs and Fano varieties
- Subnormal solutions of non-homogeneous periodic ODEs, special functions and related polynomials
- Determinants on von Neumann algebras, Mahler measures and Ljapunov exponents
- The cohomology of locally analytic representations
