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Arthur packets for G2 over p-adic fields

  • Yugo Takanashi
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Abstract

We describe Arthur packets for the split reductive group G2 over a p-adic field and compute their stable and endoscopic character distributions. The construction uses the twisted Aubert duality recently studied by Cheng--Kaletha. We identify the corresponding Xu packets on PGSO8 and their triality-twisted characters. We also extend the result to long-root and short-root Arthur packets corresponding to unitary generic representations of PGL2.

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Cite

BibTeXRIS
BibTeX
@misc{takanashi2026arthur,
  title = {{Arthur packets for $\mathrmG_2$ over $p$-adic fields}},
  author = {Yugo Takanashi},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06742},
  eprint = {2611.06742},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06742},
}
RIS
TY  - UNPB
TI  - Arthur packets for G_2 over p-adic fields
AU  - Yugo Takanashi
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06742
UR  - https://arxiv.org/abs/2611.06742
AB  - We describe Arthur packets for the split reductive group G_2 over a p-adic field and compute their stable and endoscopic character distributions. The construction uses the twisted Aubert duality recently studied by Cheng--Kaletha. We identify the corresponding Xu packets on PGSO_8 and their triality-twisted characters. We also extend the result to long-root and short-root Arthur packets corresponding to unitary generic representations of PGL_2.
ER  -