On Borel Anosov representations in even dimensions

DOI10.4171/CMH/502zbMATH Open1530.20140arXiv1909.13034MaRDI QIDQ6326152

Konstantinos Tsouvalas

Publication date: 28 September 2019

Abstract: We prove that a word hyperbolic group which admits a $P_{2q+1}$-Anosov representation into $mathsfPGL(4q+2,mathbbR)$ contains a finite-index subgroup which is either free or a surface group. As a consequence, we give an affirmative answer to Sambarino's question for Borel Anosov representations into $mathsfSL(4q+2,mathbbR)$.

Mathematics Subject Classification ID

Geometric group theory (20F65) Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

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