4 papers
math.GT2003
Asymptotic cones and ultrapowers of Lie groups
Linus Kramer, Katrin Tent
Asymptotic cones of metric spaces were first invented by Gromov. They are metric spaces which capture the 'large-scale structure' of the underlying metric space. Later, van den Dri…
math.GR2003
Buildings and classical groups
Linus Kramer
This is a survey article on classical groups (over arbitrary division rings) and their geometries.
math.GT2003
Asymptotic cones of finitely presented groups
Linus Kramer, Saharon Shelah, Katrin Tent +1
Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) is at least 2, and let be a uniform lattice in G. (a) If holds,…
math.DG2002
Affine -buildings, ultrapowers of Lie groups and Riemannian symmetric spaces: an algebraic proof of the Margulis conjecture
Linus Kramer, Katrin Tent
In this paper, we give a general group-theoretic construction of affine $\RR$-buildings, and more generally, of affine -buildings, associated to semisimple Lie groups over nonar…