Published March 3, 2017
| Version Submitted
Discussion Paper
Open
Invariant random subgroups of semidirect products
Creators
Abstract
We study invariant random subgroups (IRSs) of semidirect products G = A⋊Γ. In particular, we characterize all IRSs of parabolic subgroups of SL_d(R), and show that all ergodic IRSs of R^d⋊SL_d(R) are either of the form R^d⋊K for some IRS of SL_d(R), or are induced from IRSs of Λ⋊SL(Λ), where Λ < R^d is a lattice.
Additional Information
Supported in part by NSF grant DMS-1611851 and CAREER Award DMS-1654114. Supported in part by NSF grant DMS-0968762, NSF CAREER Award DMS-0954606 and BSF grant 2008274. This work was supported by a grant from the Simons Foundation (#419427, Omer Tamuz).Attached Files
Submitted - 1703.01282.pdf
Files
1703.01282.pdf
Additional details
Identifiers
- Eprint ID
- 100892
- Resolver ID
- CaltechAUTHORS:20200124-092403035
Related works
- Describes
- http://arxiv.org/abs/1703.01282 (URL)
Funding
- NSF
- DMS-1611851
- NSF
- DMS-1654114
- NSF
- DMS-0968762
- NSF
- DMS-0954606
- Binational Science Foundation (USA-Israel)
- 2008274
- Simons Foundation
- 419427
Dates
- Created
-
2020-01-24Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department