Finite Homogeneous Spaces

A classification of finite homogeneous semilinear spaces

A semilinear space S is homogeneous if, whenever the semilinear structures induced on two finite subsets S1 and S2 of S are isomorphic, there is at least one automorphism of S mapping S1 onto S2. We give a complete classification of all finite homogeneous semilinear spaces. Our theorem extends a result of Ronse on graphs and a result of Devillers and Doyen

Lattice Action on Finite Volume Homogeneous Spaces

Frames and Homogeneous Spaces

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

Convolution and Homogeneous Spaces

Relativities and Homogeneous Spaces I –finite Dimensional Relativity Representations–

Special relativity, the symmetry breakdown in the electroweak standardmodel, and the dichotomy of the spacetime related transformations with theLorentz group, on the one side, and the chargelike transformations with thehypercharge and isospin group, on the other side, are discussed under the com-mon concept of “relativity”. A relativity is defined by classes G/H of a “little”<lb...