Certifying Anosov representations

By providing new finite criteria which certify that a finitely generated subgroup of $\mathrm{S}\mathrm{L}(d,\mathbb{R})$ or $\mathrm{S}\mathrm{L}(d,\mathbb{C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition. We demonstrate on a surface group of genus 2 in $\mathrm{S}\mathrm{L}(3,\mathbb{R})$ by verifying the criteria for all words of length 8. The previous version required checking all words of length $2$ million.