Arrangements of equal minors in the positive Grassmannian

We discuss arrangements of equal minors of totally positive matrices. More precisely, we investigate the structure of equalities and inequalities between the minors. We show that arrangements of equal minors of largest value are in bijection with sorted sets, which earlier appeared in the context of...

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Bibliographic Details
Main Authors: Farber, Miriam, Postnikov, Alexander
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Elsevier BV 2018
Online Access:http://hdl.handle.net/1721.1/118450
https://orcid.org/0000-0002-1427-506X
https://orcid.org/0000-0002-3964-8870