Von Staudt constructions for skew-linear and multilinear matroids
Von Staudt constructions for skew-linear and multilinear matroids
This paper compares skew-linear and multilinear matroid representations. These are matroids that are representable over division rings and (roughly speaking) invertible matrices, respectively. The main tool is the von Staudt construction, by which we translate our problems to algebra. After giving an exposition of a simple variant of the von …