A spectral gap theorem in simple Lie groups
Representation Theory
2014-05-09 v1 Group Theory
Abstract
We establish the spectral gap property for dense subgroups generated by algebraic elements in any compact simple Lie group, generalizing earlier results of Bourgain and Gamburd for unitary groups.
Cite
@article{arxiv.1405.1808,
title = {A spectral gap theorem in simple Lie groups},
author = {Yves Benoist and Nicolas de Saxcé},
journal= {arXiv preprint arXiv:1405.1808},
year = {2014}
}
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20 pages