Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918503292862464 |
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| author | Cheng, Yao |
| author_facet | Cheng, Yao |
| contents | 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 ${\rm SO}_{2n+1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15678 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction Cheng, Yao Representation Theory Number Theory 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 ${\rm SO}_{2n+1}$. |
| title | Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2605.15678 |