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arXiv · 2301.06053

On some $p$-adic and mod $p$ representations of quaternion algebra over $\mathbb{Q}_p$

Yongquan Hu·Haoran Wang
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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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Yongquan Hu, Haoran Wang. 2023-01-15. On some $p$-adic and mod $p$ representations of quaternion algebra over $\mathbb{Q}_p$. https://arxiv.org/abs/2301.06053

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