Let 𝐷 be the nonsplit quaternion algebra over Q p \mathbb{Q}_{p} . We prove that a class of admissible unitary Banach space representations of D × D^{\times} of global origin are topologically of finite length.

Publication:

Journal für die reine und angewandte Mathematik (Crelles Journal)

https://doi.org/10.1515/crelle-2024-0025

Author:

Yongquan Hu

Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of the Chinese Academy of Sciences Beijing, 100190, China

E-mail: yhu@amss.ac.cn

Haoran Wang

Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084