The lecture hall parallelepiped

DOI10.1007/s00026-014-0235-8zbMath1304.52018arXiv1207.6850OpenAlexW2117085227MaRDI QIDQ404540

Fu Liu, Richard P. Stanley

Publication date: 4 September 2014

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

Full work available at URL: https://arxiv.org/abs/1207.6850

zbMATH Keywords

Eulerian numbersEhrhart polynomialslecture hall polytopes

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of partitions of integers (05A17)

Related Items (6)

Derangements, Ehrhart theory, and local \(h\)-polynomials ⋮ Enumeration of bounded lecture hall tableaux ⋮ Level algebras and \(\boldsymbol{s}\)-lecture hall polytopes ⋮ The mathematics of lecture hall partitions ⋮ Existence of unimodular triangulations — positive results ⋮ Anti-lecture hall compositions and Andrews' generalization of the Watson-Whipple transformation

Cites Work

• The \({1/k}\)-Eulerian polynomials
• Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences
• Enumeration of sequences constrained by the ratio of consecutive parts
• Lecture hall partitions
• Anti-lecture hall compositions
• Rational lecture hall polytopes and inflated Eulerian polynomials
• Decompositions of Rational Convex Polytopes
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