Homogeneous asymptotic limits of haar measures of semisimple linear groups and their lattices
| dc.creator | Maucourant, F. | |
| dc.date | 2005-12-12 | |
| dc.date | 2005-12-13 | |
| dc.date.accessioned | 2026-07-07T06:55:05Z | |
| dc.date.available | 2026-07-07T06:55:05Z | |
| dc.description | We show that Haar measures of connected semisimple groups, embedded via a representation into a matrix space, have a homogeneous asymptotic limit when viewed from far away and appropriately rescaled. This is still true if the Haar measure of the semisimple group is replaced by the Haar measure of a irreducible lattice of the group, and the asymptotic measure is the same. In the case of an almost simple group of rank greater than 2, a remainder term in obtained. This extends and precises anterior results of Duke, Rudnick and Sarnak, and Eskin-McMullen in the case of a group variety. | |
| dc.identifier | https://arxiv.org/abs/math/0512240 | |
| dc.identifier | http://arxiv.org/abs/math/0512240 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106168 | |
| dc.subject | Representation Theory | |
| dc.subject | Dynamical Systems | |
| dc.title | Homogeneous asymptotic limits of haar measures of semisimple linear groups and their lattices | |
| dc.type | text |