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Lecture hall polytopes and Lakshmibai-Seshadri paths
Rocco Chirivì, Martina Costa Cesari, Xin Fang, Peter Littelmann
Source 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.
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