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

Producción científica: Article › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	English
Número de artículo	51
Publicación	Journal of Algebraic Combinatorics
Volumen	61
N.º	4
DOI	https://doi.org/10.1007/s10801-025-01438-y
Estado	Published - jun 2025

Nota bibliográfica

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

Financiación

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

Financiadores
Simons Foundation

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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Representability of the direct sum of q-matroids

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