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PreprintarXiv licencearXiv

Uniqueness of twisted linear periods

  • Yufeng Li
  • Hengfei Lu
  • Junyan Xiao
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Abstract

Let F be a non-Archimedean local field of characteristic zero, and let D be either F or a quaternion division algebra over F. We prove that every irreducible smooth representation of GLp+q(D) has at most one linear period transforming under any prescribed character of GLp(D)×GLq(D).

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Cite

BibTeXRIS
BibTeX
@misc{li2026uniqueness,
  title = {{Uniqueness of twisted linear periods}},
  author = {Yufeng Li and Hengfei Lu and Junyan Xiao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26983},
  eprint = {2610.26983},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26983},
}
RIS
TY  - UNPB
TI  - Uniqueness of twisted linear periods
AU  - Yufeng Li
AU  - Hengfei Lu
AU  - Junyan Xiao
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26983
UR  - https://arxiv.org/abs/2610.26983
AB  - Let F be a non-Archimedean local field of characteristic zero, and let D be either F or a quaternion division algebra over F. We prove that every irreducible smooth representation of GL_p+q(D) has at most one linear period transforming under any prescribed character of GL_p(D)×GL_q(D).
ER  -