Lusztig polytopes and FFLV polytopes
arXiv:2002.11999
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.
22 pages, 12 figures; v2: added Proposition 5.2 and 5.4