The cohomology of locally analytic representations

作者:Kohlhaase Jan*
来源:Journal fur die Reine und Angewandte Mathematik, 2011, 651: 187-240.
DOI:10.1515/CRELLE.2011.013

摘要

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.

  • 出版日期2011-2