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A variation on local trilinear form

Abstract

Let F be a p-adic field and M the subgroup of GL23(F) consisting of triples with equal determinants. For each unitary principal series L-packet of M whose central character is trivial on the diagonal F×, we determine its unique member distinguished by the diagonal GL2(F).

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BibTeX
@misc{wang2026variation,
  title = {{A variation on local trilinear form}},
  author = {Yiyang Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21920},
  eprint = {2610.21920},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21920},
}
RIS
TY  - UNPB
TI  - A variation on local trilinear form
AU  - Yiyang Wang
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21920
UR  - https://arxiv.org/abs/2610.21920
AB  - Let F be a p-adic field and M the subgroup of GL_2^3(F) consisting of triples with equal determinants. For each unitary principal series L-packet of M whose central character is trivial on the diagonal F^×, we determine its unique member distinguished by the diagonal GL_2(F).
ER  -