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

Published 22 Oct 2025 in math.NT | (2510.19218v1)

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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