3 citations · 19 across the 27 of their papers we have counts for
15 papers · 1 filter
Hodge Operators and Exceptional Isomorphisms between Unitary Groups
Linus Kramer, Markus J. Stroppel
We give a generalization of the Hodge operator to spaces endowed with a hermitian or symmetric bilinear form over arbitrary fields, including the characteristic two cas…
Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two
Linus Kramer, Markus J. Stroppel
We study groups of isometries on non-alternating symmetric bilinear forms on vector spaces of characteristic two, and actions of these groups on exterior powers of the space, viewe…
A note on commutators in compact semisimple Lie algebras
Linus Kramer
Given two elements in a compact semisimple Lie algebra, we show that there is a regular element and elements with and . In the course of the proo…
Weyl Tensors, Strongly Regular Graphs, Multiplicative Characters, and a Quadratic Matrix Equation
Christopher Deninger, Theo Grundhöfer, Linus Kramer
We study solutions of a quadratic matrix equation arising in Riemannian geometry. Let be a real symmetric -matrix with zeros on the diagonal and let be a real nu…
Some remarks on proper actions, proper metric spaces, and buildings
Linus Kramer
We discuss various aspects of isometric group actions on proper metric spaces. As one application, we show that a proper and Weyl transitive action on a euclidean building is stron…
On weakly complete group algebras of compact groups
Karl Heinrich Hofmann, Linus Kramer
We study group algebras for compact groups in the category of real and complex weakly complete vector spaces. We also show that the group algebra is a quotient of the weakly comple…
Abstract homomorphisms from locally compact groups to discrete groups
Linus Kramer, Olga Varghese
We show that every abstract homomorphism from a locally compact group to a graph product , endowed with the discrete topology, is either continuous or lies in a…
On small abstract quotients of Lie groups and locally compact groups
Linus Kramer
We prove continuity results for abstract epimorphisms of locally compact groups onto finitely generated groups.
Transitive actions of locally compact groups on locally contractible spaces
Karl H. Hofmann, Linus Kramer
Suppose that is the quotient of a locally compact group by a closed subgroup. If is locally contractible and connected, we prove that is a manifold. If the -acti…
Homogeneous compact geometries
Linus Kramer, Alexander Lytchak
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-cover…
The topology of a semisimple Lie group is essentially unique
Linus Kramer
We study locally compact group topologies on semisimple Lie groups. We show that the Lie group topology on such a group is very rigid: every 'abstract' isomorphism between …
Compact Totally Disconnected Moufang Buildings
Theo Grundhofer, Linus Kramer, Hendrik Van Maldeghem +1
Let be a spherical building each of whose irreducible components is infinite, has rank at least 2 and satisfies the Moufang condition. We show that can be given the structu…
Non-discrete Euclidean Buildings for the Ree and Suzuki groups
Petra Schwer, Linus Kramer, Richard Weiss
We call a non-discrete Euclidean building a Bruhat-Tits space if its automorphism group contains a subgroup that induces the subgroup generated by all the root groups of a root dat…
The real quadrangle of type E6
Torsten Kurth, Ralf Köhl, Linus Kramer
We give a geometric interpretation of the building associated to the real Lie group E_6(-14) in terms of its 54-dimensional module.
Buildings and classical groups
Linus Kramer
This is a survey article on classical groups (over arbitrary division rings) and their geometries.