Representability of the direct sum of q-matroids

Heide Gluesing-Luerssen; Benjamin Jany

doi:10.1007/s10801-025-01438-y

Representability of the direct sum of q-matroids

Heide Gluesing-Luerssen
, Benjamin Jany

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

While there are many parallels between matroid theory and q-matroid theory, most notably on the level of cryptomorphisms, there are substantial differences when it comes to the direct sum. In this short note, we show that the direct sum of representable q-matroids may not be representable. It remains an open question whether representability of the direct sum can be characterized by the given q-matroids.

Original language	English
Article number	51
Journal	Journal of Algebraic Combinatorics
Volume	61
Issue number	4
DOIs	https://doi.org/10.1007/s10801-025-01438-y
State	Published - Jun 2025

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

Funding

HGL was partially supported by the Grant #422479 from the Simons Foundation.

Funders
Simons Foundation

Keywords

Direct sum
Representability
q-Matroid

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-025-01438-y

Cite this

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Representability of the direct sum of q-matroids

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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