Hecke algebras of finite type are cellular

• 成果类型: Article
• 署名作者: Geck, Meinolf
• 署名单位: University of Aberdeen
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-007-0053-2
• 发表日期: 2007
• 页码: 501-517
• 关键词: b-n; REPRESENTATIONS; roots

摘要

Let H be the one-parameter Hecke algebra associated to a finite Weyl group W, defined over a ground ring in which bad primes for W are invertible. Using deep properties of the Kazhdan-Lusztig basis of H and Lusztig's a-function, we show that H has a natural cellular structure in the sense of Graham and Lehrer. Thus, we obtain a general theory of Specht modules for Hecke algebras of finite type. Previously, a general cellular structure was only known to exist in types A(n) and B-n .