Contraction and restriction of positroids in terms of decorated permutations

Suho Oh

Contraction and restriction of positroids in terms of decorated permutations

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arxiv 0804.0882 v3 pith:MTIWVF45 submitted 2008-04-06 math.CO

Suho Oh This is my paper · ORCID

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keywords decoratedpermutationscontractionpositroidsrestrictiontermsbijectioncells

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A positroid is a matroid defined by Postnikov to study the cells in the non-negative part of the Grassmannian. They are in bijection with decorated permutations. We show a way to explain contraction and restriction of positroids in terms of decorated permutations.

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Flag positroid pipe dreams
math.CO 2026-05 unverdicted novelty 7.0 of 10

Flag positroid pipe dreams are new diagrams in bijection with Bruhat intervals whose elbow counts are Richardson-cell dimensions and whose row rule characterizes nonnegatively representable elementary positroid quotients.

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