论文标题
A型A型cuspidal Ribbon Tableaux
Cuspidal ribbon tableaux in affine type A
论文作者
论文摘要
对于A型A型阳性根部集的任何凸预订，我们对所有相关的尖和半肌偏斜形状进行分类和构建。这些组合物体对应于阳性A型A的Khovanov-lauda-rouquier代数的cuspidal和semicpidal偏斜Spepht模块A。cuspidal Skew skew skew skew形状是丝带，我们表明，每个偏心的形状都具有cuspidal cuspidal rubbons的独特有序的瓷砖。该平铺数据为SpecHT模块的简单因素标签提供了在Kostant分区的胆汁素学顺序中的上限。
For any convex preorder on the set of positive roots of affine type A, we classify and construct all associated cuspidal and semicuspidal skew shapes. These combinatorial objects correspond to cuspidal and semicuspidal skew Specht modules for the Khovanov-Lauda-Rouquier algebra of affine type A. Cuspidal skew shapes are ribbons, and we show that every skew shape has a unique ordered tiling by cuspidal ribbons. This tiling data provides an upper bound, in the bilexicographic order on Kostant partitions, for labels of simple factors of Specht modules.
