On the finite length of some p-adic representations of the quaternion algebra over \Q_p

2025/10/22 by Haoran Wang, Liu, Hao, Wang, Haoran
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #Holomorphic and Operator Theory #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2510.19218

openalex publication_date 2025/10/22 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

Let D be the non-split quaternion algebra over \Q_p. We prove that a class of admissible unitary Banach space representations of D^× are topologically of finite length.

Citations

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Related

• On some p-adic and mod p representations of quaternion algebra over ℚ_p
• Simple Iwasawa modules with large canonical dimension of quaternion algebra over ℚ_p
• Distinguished Representations for \rmSL_n(D) where D is a quaternion division algebra over a p-adic field
• Restricting Toral Supercuspidal Representations to the Derived Group, and Applications
• On some mod p representations of quaternion algebra over ℚ_p