论文标题
弦弦多塔的示意方法
A diagrammatic approach to string polytopes
论文作者
论文摘要
我们证明，对于每个复杂的古典组$ g $，与特殊减少分解相关的字符串多层和任何主要的积分权重$λ$将是一个晶格多层，并且只有当lie代数的最高权重代表$ g $的最高权重$λ$集成到$ g $本身的表示。这肯定了较早的猜想，并表明，一个复杂的古典群体的每个部分旗帜变种都承认对Gorenstein Fano Toric品种的平坦投射变性。
We prove that for every complex classical group $G$ the string polytope associated to a special reduced decomposition and any dominant integral weight $λ$ will be a lattice polytope if and only if the highest weight representation of the Lie algebra of $G$ with highest weight $λ$ integrates to a representation of $G$ itself. This affirms an earlier conjecture and shows that every partial flag variety of a complex classical group admits a flat projective degeneration to a Gorenstein Fano toric variety.
