Superrigid subgroups and syndetic hulls in solvable Lie groups
| dc.creator | Witte, Dave | |
| dc.date | 2001-02-05 | |
| dc.date | 2001-12-25 | |
| dc.date.accessioned | 2026-07-07T04:39:59Z | |
| dc.date.available | 2026-07-07T04:39:59Z | |
| dc.description | This is an expository paper. It is not difficult to see that every group homomorphism from the additive group Z of integers to the additive group R of real numbers extends to a homomorphism from R to R. We discuss other examples of discrete subgroups D of connected Lie groups G, such that the homomorphisms defined on D can ("virtually") be extended to homomorphisms defined on all of G. For the case where G is solvable, we give a simple proof that D has this property if it is Zariski dense. The key ingredient is a result on the existence of syndetic hulls. | |
| dc.description | 17 pages. This is the final version that will appear in the volume "Rigidity in Dynamics and Geometry," edited by M. Burger and A. Iozzi (Springer, 2002) | |
| dc.identifier | https://arxiv.org/abs/math/0102034 | |
| dc.identifier | http://arxiv.org/abs/math/0102034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60892 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.subject | 22E40 (Primary); 22E25 (Secondary) | |
| dc.title | Superrigid subgroups and syndetic hulls in solvable Lie groups | |
| dc.type | text |