English

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

Representation Theory 2023-04-18 v2 Number Theory

Abstract

We write down character formulas for representations of G2G_2 considered in Aubert-Xu, and show that stability for LL-packets uniquely pins down the Local Langlands Correspondence constructed in Aubert-Xu, thus proving unique characterization of the LLC \textit{loc.cit.}

Keywords

Cite

@article{arxiv.2304.02630,
  title  = {The explicit Local Langlands Correspondence for $G_2$ II: character formulas and stability},
  author = {Kenta Suzuki and Yujie Xu},
  journal= {arXiv preprint arXiv:2304.02630},
  year   = {2023}
}

Comments

21 pages