Affine $Λ$-buildings, ultrapowers of Lie groups and Riemannian symmetric spaces: an algebraic proof of the Margulis conjecture
| dc.creator | Kramer, Linus | |
| dc.creator | Tent, Katrin | |
| dc.date | 2002-09-11 | |
| dc.date | 2002-10-24 | |
| dc.date.accessioned | 2026-07-07T04:50:45Z | |
| dc.date.available | 2026-07-07T04:50:45Z | |
| dc.description | In this paper, we give a general group-theoretic construction of affine $\RR$-buildings, and more generally, of affine $Λ$-buildings, associated to semisimple Lie groups over nonarchimedean real closed fields. The construction of Kleiner-Leeb using the asymptotic cone of a Riemannian symmetric space appears as a special case. The explicit knowledge of the building arising here as the asymptotic cone simplifies the proof of the Margulis conjecture due to Kleiner-Leeb. | |
| dc.identifier | https://arxiv.org/abs/math/0209122 | |
| dc.identifier | http://arxiv.org/abs/math/0209122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64908 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53C, 22E, 51E | |
| dc.title | Affine $Λ$-buildings, ultrapowers of Lie groups and Riemannian symmetric spaces: an algebraic proof of the Margulis conjecture | |
| dc.type | text |