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A Spectral Gap Theorem in SU(d)
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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