Polytopes and Large Counterexamples

DOI10.1080/10586458.2017.1361367zbMath1432.52019arXiv1609.00647OpenAlexW3101997405WikidataQ124822858 ScholiaQ124822858MaRDI QIDQ5743089

Per Alexandersson

Publication date: 8 May 2019

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

Full work available at URL: https://arxiv.org/abs/1609.00647

zbMATH Keywords

hook formulapolytopesEhrhart polynomialcounter-examplesKostka coefficient

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Combinatorial aspects of representation theory (05E10)

Related Items (1)

Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity

Cites Work

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• Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes
• q-hook length formulas for forests
• Two poset polytopes
• Counting linear extensions
• Vertices of Gelfand-Tsetlin polytopes
• Toric degeneration of Schubert varieties and Gelfand--Tsetlin polytopes
• A polynomiality property for Littlewood-Richardson coefficients
• Schubert calculus and Gelfand-Zetlin polytopes
• On the Computation of Clebsch–Gordan Coefficients and the Dilation Effect
• The Hook Graphs of the Symmetric Group
• Hook length formula and geometric combinatorics
• Gelfand-Tsetlin polytopes and the integer decomposition property

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