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A note on degenerations of Morse actions

Published 29 Dec 2016 in math.GT, math.GR, and math.MG | (1612.09332v2)

Abstract: We study Morse representations of discrete subgroups in higher rank semi-simple Lie groups defined by M. Kapovich, B. Leeb and J. Porti. We show that, if a sequence of Morse representations $\rho_n : \Gamma \rightarrow G$ is (strongly) unbounded in the character variety, the group must have a very particular structure.

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