Positroids and Schubert matroids

Details Positroids and Schubert matroids Positroids and Schubert matroids

2008-03-07

arxiv.org/abs/0803.1018v5

Mathematics

Combinatorics

10 pages, 1 figure. v5 simpler proof with improved writing. Submitted

Scientific paper

Postnikov gave a combinatorial description of the cells in a
totally-nonnegative Grassmannian. These cells correspond to a special class of
matroids called positroid. We prove his conjecture that a positroid is exactly
an intersection of permuted Schubert matroids. This leads to a nice
combinatorial description of positroids that is easily computable.

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