Locally analytic vectors in representations of locally p-adic analytic groups
By M. Emerton. 2004
165 citations recorded by the source corpus.
This paper develops various foundational results in the locally analytic representation theory of p-adic groups. In particular, we define the functor ``pass to locally analytic vectors'', which attaches to any continuous representation of a p-adic analytic group on a locally convex p-adic topological vector space the associated space of locally analytic vectors. Using this functor, and the point of view that its construction suggests, we establish some basic facts about admissible locally analytic representations (as defined by Schneider and Teitelbaum). We also introduce the related notion of essentially admissible locally analytic representations.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1d3bec3164ed4f0f735c2cdaa304190268233523
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In Geometry and Topology
In Mathematical Physics
- M. Emerton
- David Loeffler
- Vytautas Paškūnas
- Frank Calegari
- C. Breuil
- T. Gee
- Akshay Venkatesh
- M. Kisin
Citations in the corpus
- A Local-Global Compatibility Conjecture in the p-adic Langlands Programme for GL 2/Q (2006, background): “We let OE denote the ring of integers in E, $ the uniformizer of OE , and F := OE/$ the residue field of OE .”