Lusztig polytopes and FFLV polytopes
Representation Theory
2020-03-10 v2 Combinatorics
Abstract
In this paper we prove that in type , the Feigin-Fourier-Littelmann-Vinberg (FFLV) polytope coincides with the Minkowski sum of Lusztig polytopes arising from various reduced decompositions. Using this result, we formulate a conjecture about the crystal structures on FFLV polytopes.
Cite
@article{arxiv.2002.11999,
title = {Lusztig polytopes and FFLV polytopes},
author = {Xin Fang and Gleb Koshevoy},
journal= {arXiv preprint arXiv:2002.11999},
year = {2020}
}
Comments
22 pages, 12 figures; v2: added Proposition 5.2 and 5.4