A local converse theorem for quasi-split even special orthogonal groups

2025/01/13 by Hazeltine, Alexander
#22E50 #FOS: Mathematics #Number Theory (math.NT) #Primary 11F70 #Representation Theory (math.RT) #Secondary 11F85

paper · doi:10.48550/arxiv.2501.16339

Abstract

We give a direct proof of the local converse theorem for quasi-split non-split SO_2l over a local non-Archimedean field of characteristic p≠ 2, applying the theory of Howe vectors and partial Bessel functions.

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