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arXiv · 2311.05531

Geometric Bruhat order on (0,1)-matrices

Tommaso Maria Botta·Alexander O. Foster·Richard Rimanyi
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Abstract

The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to $(0,1)$-matrices with fixed row and column sums. Namely, the Bruhat order induced by the geometry of a Cherkis bow variety of type A coincides with one of the two combinatorially defined Bruhat orders on the same set.

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Tommaso Maria Botta, Alexander O. Foster, Richard Rimanyi. 2024-05-22. Geometric Bruhat order on (0,1)-matrices. https://arxiv.org/abs/2311.05531

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