Honey from the Hives: A Theoretical and Computational Exploration of Combinatorial Hives

DOI10.1080/10586458.2018.1473822zbMath1462.05352arXiv1712.05460OpenAlexW3105000155MaRDI QIDQ5857708

John Lombard

Publication date: 7 April 2021

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05460

zbMATH Keywords

Littlewood-Richardson coefficientsnumerical optimizationcombinatorial hives

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Inequalities involving eigenvalues and eigenvectors (15A42)

Uses Software

• Manopt
• VolEsti

Cites Work

• A practical volume algorithm
• Characteristic vectors of bordered matrices with infinite dimensions
• A polynomiality property for Littlewood-Richardson coefficients
• Simulated annealing in convex bodies and an \(O^{*}(n^{4}\)) volume algorithm
• On the complexity of computing Kostka numbers and Littlewood-Richardson coefficients
• Manopt, a Matlab toolbox for optimization on manifolds
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• Efficient Random-Walk Methods for Approximating Polytope Volume
• Independent Component Analysis and Blind Signal Separation
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