Hans Havlicek

Projective Representations I. Projective Lines over Rings

We discuss representations of the projective line over a ringR with 1 in a projective space over some (not necessarily commutative) fieldK. Such a representation is based upon a (K, R)-bimoduleU. The points of the projective line overR are represented by certain subspaces of the projective space ℙ(K, U ×U) that are isomorphic to one of their complements. In particular, distant points go over to complementary subspaces, but in certain cases, also non-distant points may have complementary images.

Zur Theorie Linearer Abbildungen I

AbstractThe paper is concerned with a uniform geometric definition of linear mappings in a projective or grassmannian space into a projective space. We discuss sufficient conditions for the existence of a linear mapping in a finite dimensional pappian projective space which continues two given linear mappings in complementary subspaces.The subspace spanned by the image set of a linear mapping in the grassmannian of d-dimensional subspaces of an n-dimensional projective space has at most dimension

On distant-isomorphisms of projective lines

\left( {\begin{array}{*{20}c} {n + 1} \\ {d + 1} \\ \end{array} } \right)

Extending the Concept of Chain Geometry

−1.

TRANSFORMATIONS ON THE PRODUCT OF GRASSMANN SPACES

A very particular connection between the commutation relations of the elements of the generalized Pauli group of a

Chow's theorem for linear spaces

d

Differential geometric analysis of alterations in MH α‐helices

-dimensional qudit,

Jordan Homomorphisms and Harmonic Mappings

d