2-uniform matroid conjecture for quaternionic unimodular matroids

A 2-uniform matroid is a matroid in the class of matroids represented over the 2-uniform partial field, and a QU matroid is a quaternionic unimodular matroid. 2-uniform matroid conjecture. The class of 2-uniform matroids is contained in the class of QU matroids. The paper notes that this would connect 2-uniform representations with quaternionic unimodular representations and may be approachable using a generalized Lift Theorem.

Sources & referencesView supporting material

Primary source

R. A. Pendavingh and S. H. M. van Zwam, “Representing some non-representable matroids”, arXiv:1106.3088 (2011).

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