Journal article
Stable vectors in Moy-Prasad filtrations
- Abstract:
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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:
- Published
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(Accepted manuscript, 264.8KB)
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- Publisher copy:
- 10.1112/S0010437X16008228
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Authors
Bibliographic Details
- 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:
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1570-5846
- ISSN:
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0010-437X
Item Description
- Language:
- English
- Keywords:
- Pubs id:
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1115295
- Local pid:
- pubs:1115295
- Deposit date:
- 2020-10-08
Terms of use
- 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
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