Infinitesimal characters in arithmetic families
Number Theory
2020-12-03 v1 Representation Theory
Abstract
We associate infinitesimal characters to (twisted) families of -parameters and -parameters of -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.
Cite
@article{arxiv.2012.01041,
title = {Infinitesimal characters in arithmetic families},
author = {Gabriel Dospinescu and Vytautas Paškūnas and Benjamin Schraen},
journal= {arXiv preprint arXiv:2012.01041},
year = {2020}
}