On the Bernstein--Zelevinsky classification in families

Sam Mundy

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arXiv · 2207.05629

On the Bernstein--Zelevinsky classification in families

Sam Mundy

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Abstract

We study the variation of admissible representations of $p$-adic $GL_n$ in families from the point of view of the Bernstein--Zelevinsky classification and show that the ramified parts of these families are rigid. We explain how to apply our results in the context of $GL_n$-eigenvarieties.

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Sam Mundy. 2022-07-12. On the Bernstein--Zelevinsky classification in families. https://arxiv.org/abs/2207.05629

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