Journal
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU
Volume 22, Issue 5, Pages 2497-2514Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S1474748021000645
Keywords
hyperbolic groups; Anosov representations; quasi-isometric embeddings
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This article presents examples of quasi-isometric embeddings of word hyperbolic groups into SL(d,R) for d >= 4, which are not limits of Anosov representations into SL(d,R). Consequently, it is concluded that an analogue of the density theorem for PSL(2,C) does not hold for SL(d, R) when d >= 4.
We construct examples of quasi-isometric embeddings of word hyperbolic groups into SL(d,R) for d >= 4 which are not limits of Anosov representations into SL(d,R). As a consequence, we conclude that an analogue of the density theorem for PSL(2,C) does not hold for SL(d, R) when d >= 4.
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