赫克代数的多种分次胞腔基
表示论
2026-02-18 v9
摘要
我们通过构造复反射群赫克代数的多种（分次）整胞腔基，解决了该理论中的一个长期未决问题。作为应用，我们显式构造了 Ariki 范畴化定理的简单模，并证明了任意域上分解矩阵的单位三角性，同时还证明了 Martin-Woodcock 猜想。
引用
@article{arxiv.1702.06579,
title = {The many graded cellular bases of Hecke algebras},
author = {C. Bowman},
journal= {arXiv preprint arXiv:1702.06579},
year = {2026}
}
备注
The combinatorics has been changed to make it more accessible to those with a background in Fock spaces. Includes a new ordering on diagrams which vastly simplifies a number of proofs