A Spectral Gap Theorem in $SU(d)$
Group Theory
2011-09-01 v1 Combinatorics
Spectral Theory
Abstract
We establish the spectral gap property for dense subgroups of (), generated by finitely many elements with algebraic entries; this result was announced in [BG3]. The method of proof differs, in several crucial aspects, from that used in [BG] in the case of SU(2).
Cite
@article{arxiv.1108.6264,
title = {A Spectral Gap Theorem in $SU(d)$},
author = {Jean Bourgain and Alex Gamburd},
journal= {arXiv preprint arXiv:1108.6264},
year = {2011}
}