Fully packed loop configurations in a triangle and Littlewood-Richardson coefficients

DOI10.1016/J.JCTA.2013.08.006zbMath1278.05061arXiv1112.0202OpenAlexW2106419197MaRDI QIDQ388732

Philippe Nadeau

Publication date: 6 January 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0202

zbMATH Keywords

Littlewood-Richardson coefficientsfully packed loop configurationsKnutson-Tao puzzlesRazumov-Stroganov correpondence

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (6)

Fully packed loop configurations in a triangle ⋮ Fully packed loops in a triangle: matchings, paths and puzzles ⋮ Combinatorics of hexagonal fully packed loop configurations ⋮ Wieland drift for triangular fully packed loop configurations ⋮ Triangular fully packed loop configurations of excess 2 ⋮ Unnamed Item

Cites Work

• Fully packed loop configurations in a triangle
• Fully packed loops in a triangle: matchings, paths and puzzles
• Proof of the Razumov-Stroganov conjecture
• A conjectured formula for fully packed loop configurations in a triangle
• Puzzles and (equivariant) cohomology of Grassmannians
• On the number of fully packed loop configurations with a fixed associated matching
• On the counting of fully packed loop configurations: some new conjectures
• Refined counting of fully packed loop configurations
• Combinatorial nature of the ground-state vector of the \(\mathrm{O}(1)\) loop model
• The honeycomb model of 𝐺𝐿_{𝑛}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
• Unnamed Item
• Unnamed Item

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