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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…
math.DG2001
Two-transitive Lie groups
Linus Kramer
Using a characterization of parabolics in reductive Lie groups due to Furstenberg, elementary properties of buildings, and some algebraic topology, we give a new proof of Tits' cla…
math.DG2001
Compact Polygons
Linus Kramer
We develop the basic topological properties of compact polygons, i.e. of compact topological Tits buildings of rank two. It is proved that the Coxeter diagram of such a building is…