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arXiv · 2304.02630

The explicit Local Langlands Correspondence for $G_2$ II: character formulas and stability

Kenta Suzuki·Yujie Xu
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Abstract

We write down character formulas for representations of $G_2$ considered in Aubert-Xu, and show that stability for $L$-packets uniquely pins down the Local Langlands Correspondence constructed in Aubert-Xu, thus proving unique characterization of the LLC \textit{loc.cit.}

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BibTeXRIS

Kenta Suzuki, Yujie Xu. 2023-04-05. The explicit Local Langlands Correspondence for $G_2$ II: character formulas and stability. https://arxiv.org/abs/2304.02630

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