Abstract
For Zariski dense subgroups of semisimple real Lie groups, we prove the convexity and non-degeneracy of the limit cone. We also prove the density of the group spanned by the Jordan projections.
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References
Benoist, Y.: Propriétés asymptotiques des groupes linéaires. Geom. Funct. Anal. 7, 1–47 (1997)
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Benoist, Y., Quint, JF. (2016). The Jordan Projection of Semigroups. In: Random Walks on Reductive Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 62. Springer, Cham. https://doi.org/10.1007/978-3-319-47721-3_7
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DOI: https://doi.org/10.1007/978-3-319-47721-3_7
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