FFLV polytopes are string polytopes
Representation Theory
2024-02-05 v1 Combinatorics
Abstract
In this paper, we establish that FFLV polytopes, which describe monomial bases compatible with the PBW filtration on finite-dimensional simple modules for and , are actually string polytopes as described by Littelmann and Berenstein-Zelevinsky for Demazure modules of higher-rank Lie algebras.
Cite
@article{arxiv.2402.01492,
title = {FFLV polytopes are string polytopes},
author = {Ester Cleusters and Ghislain Fourier and Felix Lerner},
journal= {arXiv preprint arXiv:2402.01492},
year = {2024}
}