Sum-product for real Lie groups
Group Theory
2021-01-28 v3 Representation Theory
Abstract
We prove a discretized sum-product theorem for representations of Lie groups whose Jordan-H\"older decomposition does not contain the trivial representation. This expansion result is used to derive a product theorem in perfect Lie groups.
Cite
@article{arxiv.1806.06375,
title = {Sum-product for real Lie groups},
author = {Weikun He and Nicolas de Saxcé},
journal= {arXiv preprint arXiv:1806.06375},
year = {2021}
}
Comments
To appear in Journal of the European Mathematical Society