The many integral graded cellular bases of Hecke algebras of complex reflection groups
The many integral graded cellular bases of Hecke algebras of complex reflection groups
复制标题
DOI：
10.1353/ajm.2022.0008
复制
发表时间：
2017-02
影响因子：
1.7
通讯作者：
C. Bowman
中科院分区：
文献类型：
--
作者：
C. Bowman
摘要：我们解决了分圆Hecke代数理论中的几个长期存在的问题：对于每个电荷，我们构造了Ariki分类定理所预测的积分胞基。从而证明了分解矩阵的单位角性和Martin-Woodcock猜想。
abstract:We settle several long-standing problems in the theory of cyclotomic Hecke algebras: for each charge we construct the integral cellular basis predicted by Ariki's categorification theorem. We hence prove unitriangularity of decomposition matrices and Martin--Woodcock's conjecture.