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- W2952270443 abstract "We study invariant probability measures on the homogeneous space $mathrm{SL}_n(mathbb R)/mathrm{SL}_n(mathbb Z)$ for the action of subgroups of $mathrm{SL}_n(mathbb R)$ of the form $SF$ where $F$ is generated by one parameter unipotent groups and $S$ is a one parameter $mathbb R$-diagonalizable group normalizing $F$. Under the assumption that $S$ contains an element with only one eigenvalue less than one (counted with multiplicity) and others bigger than one we prove that all the $SF$ invariant and ergodic probability measures on $mathrm{SL}_n(mathbb R)/mathrm{SL}_n(mathbb Z)$ are homogeneous." @default.
- W2952270443 created "2019-06-27" @default.
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- W2952270443 date "2017-02-10" @default.
- W2952270443 modified "2023-09-27" @default.
- W2952270443 title "Measure rigidity for solvable group actions in the space of lattices" @default.
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- W2952270443 doi "https://doi.org/10.48550/arxiv.1702.03084" @default.
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