Lusztig polytopes and FFLV polytopes

Published 27 Feb 2020 in math.RT and math.CO | (2002.11999v2)

Abstract: In this paper we prove that in type $\tt A_n$, 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.

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