Lecture hall polytopes and Lakshmibai-Seshadri paths
arXiv:2609.03195
Abstract
Using a bijection between the lattice points in a lecture hall polytope and Lakshimibai-Seshadri (L-S) paths, we prove the Koszul property of lecture hall polytopes in complete generality, and give new proofs for their Integral Decomposition Property and for a criterion on Gorenstein property.
13 pages, comments are welcome