Abstract
The author proves a conjecture of the author: IfG is a semisimple real algebraic defined over ℚ, Γ is an arithmetic subgroup (with respect to the given ℚ-structure) andA is a diagonalizable subgroup admitting a divergent trajectory inG/Γ, then dimA≤ rankℚ G.
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References
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Weiss, B. Divergent trajectories and ℚ-rank. Isr. J. Math. 152, 221–227 (2006). https://doi.org/10.1007/BF02771984
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DOI: https://doi.org/10.1007/BF02771984