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arXiv · 2501.16339

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

Alexander Hazeltine
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Abstract

We give a direct proof of the local converse theorem for quasi-split non-split $\mathrm{SO}_{2l}$ over a local non-Archimedean field of characteristic $p\neq 2$, applying the theory of Howe vectors and partial Bessel functions.

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Alexander Hazeltine. 2025-01-13. A local converse theorem for quasi-split even special orthogonal groups. https://arxiv.org/abs/2501.16339

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