Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction
Representation Theory
2026-05-18 v1 Number Theory
Abstract
We prove that if the space of newforms is non-zero for every irreducible generic supercuspidal representation of then it is also non-zero for all irreducible generic representations of .
Keywords
Cite
@article{arxiv.2605.15678,
title = {Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction},
author = {Yao Cheng},
journal= {arXiv preprint arXiv:2605.15678},
year = {2026}
}
Comments
67 pages, with an appendix by Chi-Heng Lo