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arXiv · 1310.3519

A remark on the simple cuspidal representations of GL(n, F)

Peng Xu
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Abstract

Let $F$ be a non-archimedean local field of residue characteristic $p$, $G$ be the group $GL(n, F)$. In this note, under the assumption $(n, p)=1$, we show a simple cuspidal representation $π$ (that with normalized level $\frac{1}{n}$) of $G$ is determined uniquely up to isomorphism by the local constants of $χ\circ \text{det}\otimes π$ for all characters $χ$ of $F^\times$.

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Peng Xu. 2014-03-06. A remark on the simple cuspidal representations of GL(n, F). https://arxiv.org/abs/1310.3519

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