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arxiv: 1108.6264 · v1 · pith:764ZAQWQnew · submitted 2011-08-31 · 🧮 math.GR · math.CO· math.SP

A Spectral Gap Theorem in SU(d)

Jean Bourgain , Alex Gamburd This is my paper
classification 🧮 math.GR math.COmath.SP
keywords spectralalgebraicannouncedaspectscasecrucialdensediffers
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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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