Positroids Induced by Rational Dyck Paths

Preprint English OPEN
Gotti, Felix;
(2017)
  • Subject: Mathematics - Combinatorics
    arxiv: Mathematics::Combinatorics

A rational Dyck path of type $(m,d)$ is an increasing unit-step lattice path from $(0,0)$ to $(m,d) \in \mathbb{Z}^2$ that never goes above the diagonal line $y = (d/m)x$. On the other hand, a positroid of rank $d$ on the ground set $[d+m]$ is a special type of matroid ... View more
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