循环 Hecke 代数的块与族
表示论
2011-07-19 v3
摘要
由 Lusztig 为 Weyl 群定义的字符族在有限约化群的表示论中起着重要作用。Rouquier 根据 Hecke 代数的块对字符族的定义，使得这一概念可以推广到复反射群的情形。在本文中，我们研究了循环 Hecke 代数的 Rouquier 块，并表明它们依赖于由通用 Hecke 代数确定的数值数据。此外，我们提供了确定所有例外复反射群块的算法和结果。
引用
@article{arxiv.0807.1476,
title = {Blocks and families for cyclotomic Hecke algebras},
author = {Maria Chlouveraki},
journal= {arXiv preprint arXiv:0807.1476},
year = {2011}
}
备注
This article is essentially the work of my Ph.D. thesis. The difference lies in the third chapter, where we introduce the notion of essential algebras and study their blocks. In the second version, 40 more pages were added to cover the groups of the infinite series