Many zeros of many characters of GL(n,q)

2019/09/03 by Gallagher, Patrick X., Larsen, Michael J., Miller, Alexander R. · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1909.01111

Abstract

For G=\rm GL(n,q), the proportion P_n,q of pairs (χ,g) in \rm Irr(G)× G with χ(g)≠ 0 satisfies P_n,q→ 0 as n→∞.

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• The sparsity of character tables over finite reductive groups and its additive analogue

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