Techniques in equivariant Ehrhart theory

DOI10.1007/S00026-023-00673-ZMaRDI QIDQ6621952

Mariel Supina, Sophia Elia, Dong-Hyun Kim

Publication date: 21 October 2024

Published in: Annals of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

zonotopelattice polytopeequivariant Ehrhart theorytriangualation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Ordinary representations and characters (20C15)

Cites Work

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• Faces of weight polytopes and a generalization of a theorem of Vinberg
• Equivariant Ehrhart theory
• Combinatorics and commutative algebra.
• Ehrhart polynomials of rank two matroids
• A combinatorial formula for the Ehrhart \(h^\ast \)-vector of the hypersimplex
• Coxeter submodular functions and deformations of Coxeter permutahedra
• Standard parabolic subsets of highest weight modules
• Permutohedra, Associahedra, and Beyond
• Decompositions of Rational Convex Polytopes
• Lectures on Polytopes
• Combinatorial Reciprocity Theorems
• $h^\ast $-polynomials of zonotopes
• THE HILBERT SERIES OF ALGEBRAS OF THE VERONESE TYPE
• Combinatorial Properties of Associated Zonotopes
• The equivariant Ehrhart theory of the permutahedron
• Toric varieties
• Computing the Continuous Discretely
• The Hopf monoid of orbit polytopes
• The equivariant volumes of the permutahedron

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