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Stable vectors in Moy-Prasad filtrations

Publication ,  Journal Article
Fintzen, J; Romano, B
Published in: Compositio Mathematica
February 1, 2017

Let be a finite extension of , let be an absolutely simple split reductive group over, and let be a maximal unramified extension of . To each point in the Bruhat-Tits building of , Moy and Prasad have attached a filtration of 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 and Yu, who gave a classification in the case when is sufficiently large. By passing to a finite unramified extension of if necessary, we obtain new supercuspidal representations of .

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Published In

Compositio Mathematica

DOI

ISSN

0010-437X

Publication Date

February 1, 2017

Volume

153

Issue

2

Start / End Page

358 / 372

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Fintzen, J., & Romano, B. (2017). Stable vectors in Moy-Prasad filtrations. Compositio Mathematica, 153(2), 358–372. https://doi.org/10.1112/S0010437X16008228
Fintzen, J., and B. Romano. “Stable vectors in Moy-Prasad filtrations.” Compositio Mathematica 153, no. 2 (February 1, 2017): 358–72. https://doi.org/10.1112/S0010437X16008228.
Fintzen J, Romano B. Stable vectors in Moy-Prasad filtrations. Compositio Mathematica. 2017 Feb 1;153(2):358–72.
Fintzen, J., and B. Romano. “Stable vectors in Moy-Prasad filtrations.” Compositio Mathematica, vol. 153, no. 2, Feb. 2017, pp. 358–72. Scopus, doi:10.1112/S0010437X16008228.
Fintzen J, Romano B. Stable vectors in Moy-Prasad filtrations. Compositio Mathematica. 2017 Feb 1;153(2):358–372.
Journal cover image

Published In

Compositio Mathematica

DOI

ISSN

0010-437X

Publication Date

February 1, 2017

Volume

153

Issue

2

Start / End Page

358 / 372

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics