FFLV polytopes are string polytopes

arXiv (Cornell University)

Abstract

In this paper, we establish that FFLV polytopes, which describe monomial bases compatible with the PBW filtration on finite-dimensional simple modules for $\lie{sl}_n$ and $\lie{sp}_n$, are actually string polytopes as described by Littelmann and Berenstein-Zelevinsky for Demazure modules of higher-rank Lie algebras.

Authors 2

1. Ester Cleusters Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen

2. Felix Lerner Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen