- 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 ...
Expand abstract - Publication status:
- Published
- Files:
-
- Publisher copy:
- 10.1112/S0010437X16008228
-
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- 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
- Language:
- English
- Keywords:
- Copyright holder:
- Fintzen and Romano.
- Copyright date:
- 2017
- Rights statement:
- © The Authors 2017
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Cambridge University Press at: https://doi.org/10.1112/S0010437X16008228
Journal article
Stable vectors in Moy-Prasad filtrations
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