A free group acting without fixed points on the rational unit sphere
Bewegungsgruppen projektiv-metrischer Ebenen von Char.2.
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Ein Zusammenhang zwischen affinen kinematischen Räumen und orthogonalen Gruppen
Eine Kennzeichnung der symplektischen und orthogonalen Gruppen über GF (4).
Fixed points of rotations of -sphere.
Invariant theory under restricted groups
On a general principle in geometry that leads to functional equations.
On Lorentz-Minkowski geometry in real inner product spaces.
Products of simple isometries of given conjugacy types.
Radical relations in unitary, symplectic, and orthogonal groups.
Relationen zwischen Symmetrien in orthogonalen Gruppen.
The Rotation Group
We introduce length-preserving linear transformations of Euclidean topological spaces. We also introduce rotation which preserves orientation (proper rotation) and reverses orientation (improper rotation). We show that every rotation that preserves orientation can be represented as a composition of base proper rotations. And finally, we show that every rotation that reverses orientation can be represented as a composition of proper rotations and one improper rotation.
Unitary Reflection Groups and Cohomology.