A Spectral Gap Theorem in $SU(d)$

Details A Spectral Gap Theorem in $SU(d)$ A Spectral Gap Theorem in $SU(d)$

2011-08-31

arxiv.org/abs/1108.6264v1

Mathematics

Group Theory

Scientific paper

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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