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arXiv · 1108.6264

A Spectral Gap Theorem in $SU(d)$

Jean Bourgain·Alex Gamburd
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Abstract

We establish the spectral gap property for dense subgroups of $SU(d)$ ($d\geq 2$), 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).

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Jean Bourgain, Alex Gamburd. 2011-08-31. A Spectral Gap Theorem in $SU(d)$. https://arxiv.org/abs/1108.6264

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