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Regarding a Representation-Theoretic Conjecture of Wigderson

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arxiv 1009.4136 v1 pith:XW743XLZ submitted 2010-09-21 math.GR cs.CCmath.RT

Regarding a Representation-Theoretic Conjecture of Wigderson

Cristopher Moore , Alexander Russell This is my paper
classification math.GR cs.CCmath.RT
keywords conjecturewigdersonapproachingaverageconstantelementsexistsfamily
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We show that there exists a family of irreducible representations R_i (of finite groups G_i) such that, for any constant t, the average of R_i over t uniformly random elements g_1, ..., g_t of G_i has operator norm 1 with probability approaching 1 as i limits to infinity. This settles a conjecture of Wigderson in the negative.

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