论文标题
Hecke代数的SpepHT模块的积极性和网络基础
Positivity and Web Bases for Specht Modules of Hecke Algebras
论文作者
论文摘要
我们表明,Hecke代数的SpecHT模块的过渡矩阵从标准基础到Web基础是Unitriangular,并且只要SpecHT模块在大多数两个部分都被一个分区标记时,就可以满足强阳性属性。这概括了Russell-Tymoczko和Rhoades的结果。
We show that the transition matrix from the standard basis to the web basis for a Specht module of the Hecke algebra is unitriangular and satisfies a strong positivity property whenever the Specht module is labeled by a partition with at most two parts. This generalizes results of Russell--Tymoczko and Rhoades.