Divergent trajectories and ℚ-Rank

Barak Weiss

doi:10.1007/BF02771984

Divergent trajectories and ℚ-Rank

Barak Weiss

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The author proves a conjecture of the author: If G is a semisimple real algebraic defined over ℚ, Γ is an arithmetic subgroup (with respect to the given ℚ-structure) and A is a diagonalizable subgroup admitting a divergent trajectory in G/Γ, then dim A ≤ rank_ℚG.

Original language	English
Pages (from-to)	221-227
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	152
DOIs	https://doi.org/10.1007/BF02771984
State	Published - 1 Jan 2006

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02771984

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abstract = "The author proves a conjecture of the author: If G is a semisimple real algebraic defined over ℚ, Γ is an arithmetic subgroup (with respect to the given ℚ-structure) and A is a diagonalizable subgroup admitting a divergent trajectory in G/Γ, then dim A ≤ rankℚG.",

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AB - The author proves a conjecture of the author: If G is a semisimple real algebraic defined over ℚ, Γ is an arithmetic subgroup (with respect to the given ℚ-structure) and A is a diagonalizable subgroup admitting a divergent trajectory in G/Γ, then dim A ≤ rankℚG.

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JO - Israel Journal of Mathematics

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Divergent trajectories and ℚ-Rank

Abstract

ASJC Scopus subject areas

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