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arXiv:2301.13092 [math.RT]AbstractReferencesReviewsResources

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

Alexander Hazeltine, Baiying Liu

Published 2023-01-30Version 1

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.

Comments: To appear in Acta Mathematica Sinica, English Series
Categories: math.RT, math.NT
Subjects: 20C33, 20G40
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