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arXiv · 2607.28748

Associated graded modules for modular representations of quaternion algebras

Jiusi Zhao
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Abstract

Let $K$ be a finite unramified extension of $\mathbb{Q}_p$ and $D$ the non-split quaternion algebra over $K$. We compute the associated graded modules of the duals of the predicted representations of $D^\times$ occurring in the Jacquet--Langlands correspondence.

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Jiusi Zhao. 2026-07-30. Associated graded modules for modular representations of quaternion algebras. https://arxiv.org/abs/2607.28748

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