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arXiv · 2501.16338

A converse theorem for quasi-split even special orthogonal groups over finite fields

Alexander Hazeltine
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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.

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Alexander Hazeltine. 2025-01-13. A converse theorem for quasi-split even special orthogonal groups over finite fields. https://arxiv.org/abs/2501.16338

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