Report
Local newforms for the general linear groups over a non-archimedean local field
| العنوان: | Local newforms for the general linear groups over a non-archimedean local field |
|---|---|
| المؤلفون: | Atobe, Hiraku, Kondo, Satoshi, Yasuda, Seidai |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Representation Theory |
| الوصف: | In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of $p$-adic general linear groups indexed by non-negative integers, and established the theory of local newforms for irreducible generic representations. In this paper, we extend their results to all irreducible representations. To do this, we define a new family of compact open subgroups indexed by certain tuples of non-negative integers. For the proof, we introduce the Rankin--Selberg integrals for Speh representations. Comment: 60 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2110.09070 |
| رقم الانضمام: | edsarx.2110.09070 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |