Mcalmon–Oh–Xiang's CCW-arrow characterization of positroid quotients
Mcalmon–Oh–Xiang's CCW-arrow characterization of positroid quotients
Let and be positroids, and write for the quotient relation. A CCW-arrow is the interval associated with a positroid as in the preceding definition.
Mcalmon–Oh–Xiang's conjecture. if and only if every CCW-arrow of is the union of CCW-arrows of .
This characterizes the quotient relation for positroids in terms of their CCW-arrows, extending the corresponding interval description for lattice path matroids. The supplied material gives no evidence that the statement has been proved or disproved.
Sources & referencesView supporting material
Primary source
Carolina Benedetti and Kolja Knauer, “Lattice path matroids and quotients”, arXiv:2202.11634 (2024).
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