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.
Contraction and restriction of positroids in terms of decorated permutations
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
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
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.