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Geometric Bruhat order on (0,1)-matrices by Botta, Tommaso Maria; Foster, Alexander O.; Rimanyi, Richard is a scholarly article available to read on EtoBox.

What is Geometric Bruhat order on (0,1)-matrices about?

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.

Author

Botta, Tommaso Maria; Foster, Alexander O.; Rimanyi, Richard

Published

2023

Language

EN