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

2025/01/13 by Alexander Hazeltine, Hazeltine, Alexander
Mathematics · Computer Science · #Finite Group Theory Research #Coding theory and cryptography #Cooperative Communication and Network Coding

paper · pdf · doi:10.48550/arxiv.2501.16338

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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