FFLV polytopes are string polytopes

2024/02/02 by Cleusters, Ester, Fourier, Ghislain, Lerner, Felix
#05E10 #14M25 #17B10 #52B05 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2402.01492

Abstract

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

Related

• Vertices of FFLV polytopes
• FFLV polytopes for odd symplectic Lie algebras
• Lusztig polytopes and FFLV polytopes
• FFLV-type monomial bases for type B
• A diagrammatic approach to string polytopes