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Flag-homogeneous compact connected polygons

- T. Grundhöfer, N. Knarr, L. Kramer
- Mathematics
- 1 March 1995

The flag-homogeneous compact connected polygons with equal topological parametersp = q are classified explicitly. These polygons turn out to be Moufang polygons.

28 6- PDF

The topology of a semisimple Lie group is essentially unique

- L. Kramer
- Mathematics
- 28 September 2010

We study locally compact group topologies on semisimple Lie groups. We show that the Lie group topology on such a group $S$ is very rigid: every 'abstract' isomorphism between $S$ and a locally… Expand

14 5- PDF

Two-transitive Lie groups

- L. Kramer
- Mathematics
- 13 June 2001

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' classification of… Expand

25 3- PDF

Compact Polygons

- L. Kramer
- Mathematics
- 5 April 2001

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 always… Expand

17 3- PDF

Flag-Homogeneous Compact Connected Polygons II

- T. Grundhöfer, N. Knarr, L. Kramer
- 2000

All flag-homogeneous compact connected polygons are classified explicitly. It turns out that these polygons are precisely the compact connected Moufang polygons.

23 3

HOMOGENEOUS COMPACT GEOMETRIES

- L. Kramer, A. Lytchak
- Mathematics
- 10 May 2012

We classify compact homogeneous geometries of irreducible spherical type and rank at least 2 which admit a transitive action of a compact connected group, up to equivariant 2-coverings. We apply our… Expand

9 3- PDF

Simple groups of finite morley rank and Tits buildings

- L. Kramer, K. Tent, H. Maldeghem
- Mathematics
- 1 December 1999

Theorem A:If ℬ is an infinite Moufang polygon of finite Morley rank, then ℬ is either the projective plane, the symplectic quadrangle, or the split Cayley hexagon over some algebraically closed… Expand

21 2- PDF

Transitive actions of locally compact groups on locally contractible spaces

- K. Hofmann, L. Kramer
- Mathematics
- 22 January 2013

Suppose that $X=G/K$ is the quotient of a locally compact group by a closed subgroup. If $X$ is locally contractible and connected, we prove that $X$ is a manifold. If the $G$-action is faithful,… Expand

11 2- PDF

Loop Groups and Twin Buildings

- L. Kramer
- Mathematics
- 19 September 2001

In these notes we describe some buildings related to complex Kac–Moody groups. First we describe the spherical building of SLn(ℂ) (i.e. the projective geometry PG(ℂn)) and its Veronese… Expand

11 2- PDF

Asymptotic cones of finitely presented groups

Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S)⩾2 and let Γ be a uniform lattice in G.
(a)
If CH holds, then Γ has a unique asymptotic… Expand

41 1- PDF

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