Topological simplicity, commensurator super-rigidity and non-linearities of Kac-Moody groups

Simple item page
dc.creatorRemy, Bertrand
dc.creatorBonvin, Patrick
dc.date2003-02-10
dc.date2003-02-23
dc.date.accessioned2026-07-07T04:55:09Z
dc.date.available2026-07-07T04:55:09Z
dc.descriptionWe provide new arguments to see topological Kac-Moody groups as generalized semisimple groups over local fields: they are products of topologically simple groups and their Iwahori subgroups are the normalizers of the pro-p Sylow subgroups. We use a dynamical characterization of parabolic subgroups to prove that some countable Kac-Moody groups with Fuchsian buildings are not linear. We show for this that the linearity of a countable Kac-Moody group implies the existence of a closed embedding of the corresponding topological group in a non-Archimedean simple Lie group, thanks to a commensurator super-rigidity theorem proved in the Appendix by P. Bonvin.
dc.description30 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0302107
dc.identifierhttp://arxiv.org/abs/math/0302107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66485
dc.subjectGroup Theory
dc.subject22F50; 22E20; 51E24; 53C24; 22E40; 17B67
dc.titleTopological simplicity, commensurator super-rigidity and non-linearities of Kac-Moody groups
dc.typetext

Files

Collections

arXiv