A Converse Theorem for Split $\mathrm{SO}_{2l}$ over Finite Fields

Autor:	Hazeltine, Alexander, Liu, Baiying
Rok vydání:	2023
Předmět:	Mathematics - Representation Theory Mathematics - Number Theory 20C33 (Primary) 20G40 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We prove a converse theorem for split even special orthogonal groups over finite fields. This is the only case left on converse theorems of split classical groups and the difficulty is the existence of the outer automorphism. In this paper, we develop new ideas and overcome this difficulty. Comment: To appear in Acta Mathematica Sinica, English Series
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.13092 Zobrazit plný text záznamu View this record from Arxiv