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On some $p$-adic and mod $p$ representations of quaternion algebra over $\mathbb{Q}_p$ (2301.06053v1)
Published 15 Jan 2023 in math.NT
Abstract: Let $D$ be the non-split quaternion algebra over $\mathbb{Q}_p$. We prove that a class of admissible unitary Banach space representations of $D{\times}$ of global origin are topologically of finite length.
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