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Uniqueness of twisted linear periods over Archimedean division algebras

  • Yufeng Li
  • Junyan Xiao
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Abstract

Let DD be R, C, or HH, and let H=GLp(DD)×GLq(DD) be the block diagonal subgroup of G=GLp+q(DD). We prove that dimHomH(π,η)≤1 for every irreducible Casselman--Wallach representation π of G and every smooth character η of H.

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Cite

BibTeXRIS
BibTeX
@misc{li2026uniqueness,
  title = {{Uniqueness of twisted linear periods over Archimedean division algebras}},
  author = {Yufeng Li and Junyan Xiao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.19875},
  eprint = {2610.19875},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.19875},
}
RIS
TY  - UNPB
TI  - Uniqueness of twisted linear periods over Archimedean division algebras
AU  - Yufeng Li
AU  - Junyan Xiao
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.19875
UR  - https://arxiv.org/abs/2610.19875
AB  - Let DD be R, C, or HH, and let H=GL_p(DD)×GL_q(DD) be the block diagonal subgroup of G=GL_p+q(DD). We prove that dimHom_H(π,η)≤1 for every irreducible Casselman--Wallach representation π of G and every smooth character η of H.
ER  -