nLab positive Grassmannian

Definition

Totally nonnegative Grassmanian (informally called positive Grassmannian) $G_+(n,k)$ is a part of the real Grassmannian $G(n,k)(\mathbf{R}^n)$ consisting of points for which all maximal minors are nonnegative.

Literature

Related entries: Grassmannian, total positivity, amplituhedron, positroid

• Alexander Postnikov, Lectures on positive Grassmannian, writeup by A. Morales, pdf
• Lauren K. Williams, The positive Grassmannian, the amplituhedron, and cluster algebras, arXiv:2110.10856