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arXiv · 2504.14490

Simple Iwasawa modules with large canonical dimension of quaternion algebra over $\mathbb{Q}_p$

Weibo Fu
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Abstract

We construct certain absolutely irreducible Banach representations of the quaternion algebra of large canonical (Gelfand-Kirillov) dimension which yield counterexamples to a natural conjecture of Dospinescu-Schraen on the existence of an infinitesimal character and topological finite length for the locally analytic vectors of an absolutely irreducible Banach representation.

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Weibo Fu. 2025-04-20. Simple Iwasawa modules with large canonical dimension of quaternion algebra over $\mathbb{Q}_p$. https://arxiv.org/abs/2504.14490

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