Regarding a Representation-Theoretic Conjecture of Wigderson
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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