论文标题
lusztig的多面体和FFLV多型
Lusztig polytopes and FFLV polytopes
论文作者
论文摘要
在本文中,我们证明,在$ \ tt a_n $中,Feigin-fourier-littelmann-Vinberg(FFLV)的多层与Minkowski的lusztig多面体相吻合,来自各种降低分解。使用此结果,我们制定了关于FFLV多面体上晶体结构的猜想。
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.