A converse theorem for quasi-split even special orthogonal groups over finite fields
Representation Theory
2025-01-29 v1 Number Theory
Abstract
We prove a converse theorem for the case of quasi-split non-split even special orthogonal groups over finite fields. There are two main difficulties which arise from the outer automorphism and non-split part of the torus. The outer automorphism is handled similarly to the split case, while new ideas are developed to overcome the non-split part of the torus.
Cite
@article{arxiv.2501.16338,
title = {A converse theorem for quasi-split even special orthogonal groups over finite fields},
author = {Alexander Hazeltine},
journal= {arXiv preprint arXiv:2501.16338},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2301.13092