English

A local converse theorem for quasi-split even special orthogonal groups

Representation Theory 2025-01-29 v1 Number Theory

Abstract

We give a direct proof of the local converse theorem for quasi-split non-split SO2l\mathrm{SO}_{2l} over a local non-Archimedean field of characteristic p2p\neq 2, applying the theory of Howe vectors and partial Bessel functions.

Keywords

Cite

@article{arxiv.2501.16339,
  title  = {A local converse theorem for quasi-split even special orthogonal groups},
  author = {Alexander Hazeltine},
  journal= {arXiv preprint arXiv:2501.16339},
  year   = {2025}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2301.13847

R2 v1 2026-06-28T21:20:21.899Z