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

2016/12/02 by Mohammadi, Amir, Golsefidy, Alireza Salehi
#Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1612.00537

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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