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arXiv · 2012.01041

Infinitesimal characters in arithmetic families

Gabriel Dospinescu·Vytautas Paškūnas·Benjamin Schraen
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Abstract

We associate infinitesimal characters to (twisted) families of $L$-parameters and $C$-parameters of $p$-adic reductive groups. We use the construction to study the action of the centre of the universal enveloping algebra on the locally analytic vectors in the Hecke eigenspaces in the completed cohomology.

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Gabriel Dospinescu, Vytautas Paškūnas, Benjamin Schraen. 2020-12-02. Infinitesimal characters in arithmetic families. https://arxiv.org/abs/2012.01041

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