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

Published 5 Apr 2023 in math.RT and math.NT | (2304.02630v2)

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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