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arXiv · 1612.00537

Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces

Amir Mohammadi·Alireza Salehi Golsefidy
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Abstract

We classify measures on a homogeneous space which are invariant under a certain solvable subgroup and ergodic under its unipotent radical. Our treatment is independent of characteristic. As a result we get the first measure classification for the action of semisimple subgroups without any characteristic restriction.

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Amir Mohammadi, Alireza Salehi Golsefidy. 2016-12-02. Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces. https://arxiv.org/abs/1612.00537

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