Solid locally analytic representations of $p$-adic Lie groups
Number Theory
2022-04-14 v2 Representation Theory
Abstract
We develop the theory of locally analytic representations of compact -adic Lie groups from the perspective of the theory of condensed mathematics of Clausen and Scholze. As an application, we generalise Lazard's isomorphisms between continuous, locally analytic and Lie algebra cohomology to solid representations. We also prove a comparison result between the group cohomology of a solid representation and of its analytic vectors.
Cite
@article{arxiv.2110.11916,
title = {Solid locally analytic representations of $p$-adic Lie groups},
author = {Joaquín Rodrigues Jacinto and Juan Esteban Rodríguez Camargo},
journal= {arXiv preprint arXiv:2110.11916},
year = {2022}
}
Comments
51 pages