Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction

Yao Cheng

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arXiv · 2605.15678

Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction

Yao Cheng

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Abstract

We prove that if the space of newforms is non-zero for every irreducible generic supercuspidal representation of ${\rm SO}_{2n+1}$ then it is also non-zero for all irreducible generic representations of ${\rm SO}_{2n+1}$.

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BibTeX RIS

Yao Cheng. 2026-05-15. Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction. https://arxiv.org/abs/2605.15678

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