4 papers
Representability of -matroids via rank-metric codes
Gianira N. Alfarano, Sebastian Degen
Multilinear representability extends classical linear representability of matroids by assigning subspaces, rather than vectors, to ground elements. This notion is closely related t…
On gamma-vectors and Chow polynomials of restrictions of reflection arrangements
Sebastian Degen, Lisa Henetmayr, Magdaléna Mišinová +2
Simplicial arrangements are a special class of hyperplane arrangements, having the property that every chamber is a simplicial cone. It is known that the simpliciality property is…
Most -matroids are not representable
Sebastian Degen, Lukas Kühne
A -matroid is the analogue of a matroid which arises by replacing the finite ground set of a matroid with a finite-dimensional vector space over a finite field. These -matroi…
The polytope of all -rank functions
Gianira N. Alfarano, Sebastian Degen
A -rank function is a real-valued function defined on the subspace lattice that is non-negative, upper bounded by the dimension function, non-decreasing, and satisfies the submo…