The Metaplectic Representation is Faithful
Representation Theory
2025-05-09 v3 Rings and Algebras
Abstract
We develop methods to show that infinite-dimensional modules over the Iwasawa algebra of a uniform pro-p group are faithful and apply them to show that the metaplectic representation for the symplectic group is faithful.
Cite
@article{arxiv.2401.04581,
title = {The Metaplectic Representation is Faithful},
author = {Christopher Chang and Simeon Hellsten and Mario Marcos Losada and Sergiu Novac},
journal= {arXiv preprint arXiv:2401.04581},
year = {2025}
}
Comments
18 pages, 11 figures; changes made at suggestion of an anonymous reviewer