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Divergent trajectories and ℚ-rank |
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| Authors: | Barak Weiss |
| Institution: | (1) Department of Mathematics, Ben Gurion University of the Negev, 84105 Be’er Sheva, Israel |
| 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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