Chain Geometry over Clifford Algebras

Abstract

In the following chapter we give an introduction to chain geometry. It is not the aim of this work to give a complete treatise of this topic, we just introduce the concepts we need for our purposes. For a more detailed introduction the reader is referred to [11]. The roots of chain geometry can be found in BENZ [5]. BENZ investigated projective lines over commutative two-dimensional algebras and the corresponding chain geometries. A more recent treatise is [33].