Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces
classification
🧮 math.DS
math.GR
keywords
characteristicactionhomogeneousmeasuresolvableundercertainclassification
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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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