AN ALGORITHM TO CONSTRUCT THE LE DIAGRAM ASSOCIATED TO A GRASSMANN NECKLACE

DOI10.1017/S001708951800054XzbMath1436.05024arXiv1803.01726OpenAlexW2963030844WikidataQ128552430 ScholiaQ128552430MaRDI QIDQ5203855

Susama Agarwala, Siân Fryer

Publication date: 9 December 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01726

zbMATH Keywords

matroidstotal positivityLe diagramGrassman necklace

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35) Ring-theoretic aspects of quantum groups (16T20)

Related Items (5)

Wilson loops in SYM \(\mathcal{N}=4\) do not parametrize an orientable space ⋮ Combinatorics of the geometry of Wilson loop diagrams II: Grassmann necklaces, dimensions, and denominators ⋮ Total Positivity is a Quantum Phenomenon: The Grassmannian Case ⋮ Cancellation of spurious poles in \(N=4\) SYM: physical and geometric ⋮ A study in \(\mathbb{G}_{\mathbb{R} , \geq 0} ( 2 , 6 )\): from the geometric case book of Wilson loop diagrams and SYM \(N =4\)

Cites Work

• KP solitons and total positivity for the Grassmannian
• Quantum matrices by paths.
• Wilson loop diagrams and positroids
• Positroids and Schubert matroids
• Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves.
• Decompositions of amplituhedra
• Prime ideals in the quantum Grassmannian.
• Unwinding the amplituhedron in binary
• Prime spectrum of \(O_q(M_n(k))\): canonical image and normal separation
• From Grassmann necklaces to restricted permutations and back again

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