Local newforms for the general linear groups over a non-archimedean local field

Atobe H., KONDO S., Yasuda S.

FORUM OF MATHEMATICS PI, cilt.10, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1017/fmp.2022.17
  • Dergi Adı: FORUM OF MATHEMATICS PI
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Orta Doğu Teknik Üniversitesi Kuzey Kıbrıs Kampüsü Adresli: Evet

Özet

In [14], Jacquet-Piatetskii-Shapiro-Shalika defined a family of compact open subgroups of p-adic general linear groups indexed by nonnegative 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 nonnegative integers. For the proof, we introduce the Rankin-Selberg integrals for Speh representations.