The equivariant Ehrhart theory of the permutahedron

zbMath1472.52016arXiv1911.11159MaRDI QIDQ2199885

Federico Ardila, Mariel Supina, Andrés R. Vindas Meléndez

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11159

zbMATH Keywords

zonotopesymmetric grouprepresentation theoryquasipolynomialEhrhart theorypermutahedron

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

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• Newton polyhedra and toroidal varieties
• Computing the Continuous Discretely
• Combinatorial Properties of Associated Zonotopes
• The equivariant volumes of the permutahedron

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