Quasi-isometric free group representations into SL_3(R)

Published 5 Nov 2024 in math.GR, math.DS, and math.GT | (2411.03509v1)

Abstract: We study quasi-isometric representations of finitely generated non-abelian free groups into some higher rank semi-simple Lie groups which are not Anosov, nor approximated by Anosov. We show in some cases that these can be perturbed to be non-quasi-isometric, or to have some instability properties with respect to their action on the flag space.

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