On Borel Anosov representations in even dimensions (Q2227783)

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scientific article; zbMATH DE number 7310900
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On Borel Anosov representations in even dimensions
scientific article; zbMATH DE number 7310900

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    On Borel Anosov representations in even dimensions (English)
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    15 February 2021
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    Summary: We prove that a word hyperbolic group which admits a \(P_{2q + 1}\)-Anosov representation into \(\mathsf{PGL}(4q + 2, \mathbb{R})\) 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 \(\mathsf{SL}(4q + 2, \mathbb{R})\).
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    word hyperbolic groups
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    discrete subgroups of Lie groups
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    Anosov representations
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