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Stable vectors in Moy-Prasad filtrations

Abstract:

Let k be a finite extension of Qp , let G be an absolutely simple split reductive group over k , and let K be a maximal unramified extension of k . To each point in the Bruhat–Tits building of GK , Moy and Prasad have attached a filtration of G(K) by bounded subgroups. In this paper we give necessary and sufficient conditions for the dual of the first Moy–Prasad filtration quotient to contain stable vectors for the action of the reductive quotient. Our work extends earlier results by Reeder ...

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Publication status:
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Institution:
University of Oxford
Department:
College only
Role:
Author
Publisher:
Cambridge University Press Publisher's website
Journal:
Compositio Mathematica Journal website
Volume:
153
Issue:
2
Pages:
358-372
Publication date:
2017-02-09
DOI:
EISSN:
1570-5846
ISSN:
0010-437X
Pubs id:
1115295
Local pid:
pubs:1115295

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