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arXiv · 2510.19218

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

Hao Liu·Haoran Wang
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Abstract

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

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Hao Liu, Haoran Wang. 2025-10-22. On the finite length of some $p$-adic representations of the quaternion algebra over $\Q_p$. https://arxiv.org/abs/2510.19218

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