Almost-minimal nonuniform lattices of higher rank
| dc.creator | Chernousov, Vladimir | |
| dc.creator | Lifschitz, Lucy | |
| dc.creator | Morris, Dave Witte | |
| dc.date | 2007-05-30 | |
| dc.date | 2007-11-13 | |
| dc.date.accessioned | 2026-07-07T08:42:10Z | |
| dc.date.available | 2026-07-07T08:42:10Z | |
| dc.description | If Gamma is a nonuniform, irreducible lattice in a semisimple Lie group whose real rank is greater than 1, we show Gamma contains a subgroup that is isomorphic to a nonuniform, irreducible lattice in either SL(3,R), SL(3,C), or a direct product SL(2,R)^m x SL(2,C)^n$, with m + n > 1. (In geometric terms, this can be interpreted as a statement about the existence of totally geodesic subspaces of finite-volume, noncompact, locally symmetric spaces of higher rank.) Another formulation of the result states that if G is any isotropic, almost simple algebraic group over Q (the rational numbers), such that the real rank of G is greater than 1, then G contains an isotropic, almost simple Q-subgroup H, such that H is quasisplit, and the real rank of H is greater than 1. | |
| dc.description | 23 pages. Minor corrections, and added remarks about which of the subgroups we construct are simply connected | |
| dc.identifier | https://arxiv.org/abs/0705.4330 | |
| dc.identifier | http://arxiv.org/abs/0705.4330 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141869 | |
| dc.subject | Group Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 22E40; 20G30, 53C35 | |
| dc.title | Almost-minimal nonuniform lattices of higher rank | |
| dc.type | text |