Strong non-arithmeticity for Zariski dense subsemigroups

2026/07/22 by Ion Grama, Jean-François Quint, Hui Xiao
Mathematics · #math.GR #msc:20H10 #msc:22E40

paper · pdf

23 pages, a few misprints corrected

arxiv created 2026/07/30 · arxiv updated 2026/07/31

Abstract

We prove a non-arithmeticity property for the complex eigenvalues of a Zariski dense subsemigroups of real reductive algebraic groups. This property will be used in [7] in order to establish a local limit theorem for the operator norm of products of random matrices.

Citations

• Local limit theorem for the operator norm of products of random matrices

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