33 citations · 83 across the 42 of their papers we have counts for
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Polynomial Invariants of q-Matroids and Rank-Metric Codes
Heide Gluesing-Luerssen, Benjamin Jany
It is shown that the Whitney function of a representable q-matroid and the collection of all higher weight enumerators of any representing rank-metric code determine each other via…
The Cloud and Flock Polynomials of q-Matroids
Heide Gluesing-Luerssen, Benjamin Jany
We show that the Whitney function of a q-matroid can be determined from the cloud and flock polynomials associated to the cyclic flats. These polynomials capture information about…
Decompositions of q-Matroids Using Cyclic Flats
Heide Gluesing-Luerssen, Benjamin Jany
We study the direct sum of q-matroids by way of their cyclic flats. Using that the rank function of a q-matroid is fully determined by the cyclic flats and their ranks, we show tha…
Representability of the Direct Sum of -Matroids
Heide Gluesing-Luerssen, Benjamin Jany
While there are many parallels between matroid theory and -matroid theory, most notably on the level of cryptomorphisms, there are substantial differences when it comes to the d…
Coproducts in Categories of q-Matroids
Heide Gluesing-Luerssen, Benjamin Jany
q-Matroids form the q-analogue of classical matroids. In this paper we introduce various types of maps between q-matroids. These maps are not necessarily linear, but they map subsp…
Independent Spaces of q-Polymatroids
Heide Gluesing-Luerssen, Benjamin Jany
This paper is devoted to the study of independent spaces of q-polymatroids. With the aid of an auxiliary q-matroid it is shown that the collection of independent spaces satisfies t…