Translator Disclaimer
2015 SIMPLE SUPERCUSPIDAL REPRESENTATIONS OF $\operatorname{GL}(n)$
Andrew Knightly, Charles Li
Taiwanese J. Math. 19(4): 995-1029 (2015). DOI: 10.11650/tjm.19.2015.3853

Abstract

Following a construction of Gross and Reeder, we define simple supercuspidal representations of $\operatorname{GL}(n)$ over a $\mathfrak{p}$-adic field. We show that they have conductor $\mathfrak{p}^{n+1}$. We then give a general formula for the matrix coefficient attached to a new vector, and make it completely explicit when $n=2$.

Citation

Download Citation

Andrew Knightly. Charles Li. "SIMPLE SUPERCUSPIDAL REPRESENTATIONS OF $\operatorname{GL}(n)$." Taiwanese J. Math. 19 (4) 995 - 1029, 2015. https://doi.org/10.11650/tjm.19.2015.3853

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.22009
MathSciNet: MR3384676
Digital Object Identifier: 10.11650/tjm.19.2015.3853

Subjects:
Primary: 22E50

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

JOURNAL ARTICLE
35 PAGES


SHARE
Vol.19 • No. 4 • 2015
Back to Top