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PreprintarXiv licencearXiv

Enhanced Langlands Parameters of Regular Principal Series

  • Haoming Li
  • Xiaohang Yang
  • Jizhi Zhang
  • Yelei Zhao
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Abstract

We describe the enhanced Langlands parameters of the irreducible constituents of a regular principal series of a quasi-split reductive group over a non-archimedean local field of characteristic zero. Starting from the chamber parametrization by Rodier and Luo, we determine the monodromy of each constituent and show that its enhancement is trivial. In particular, we obtain the corresponding parameter of the unique irreducible subrepresentation.

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Cite

BibTeXRIS
BibTeX
@misc{li2026enhanced,
  title = {{Enhanced Langlands Parameters of Regular Principal Series}},
  author = {Haoming Li and Xiaohang Yang and Jizhi Zhang and Yelei Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29471},
  eprint = {2610.29471},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29471},
}
RIS
TY  - UNPB
TI  - Enhanced Langlands Parameters of Regular Principal Series
AU  - Haoming Li
AU  - Xiaohang Yang
AU  - Jizhi Zhang
AU  - Yelei Zhao
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29471
UR  - https://arxiv.org/abs/2610.29471
AB  - We describe the enhanced Langlands parameters of the irreducible constituents of a regular principal series of a quasi-split reductive group over a non-archimedean local field of characteristic zero. Starting from the chamber parametrization by Rodier and Luo, we determine the monodromy of each constituent and show that its enhancement is trivial. In particular, we obtain the corresponding parameter of the unique irreducible subrepresentation.
ER  -