Hecke algebras of finite type are cellular

Meinolf Josef Geck

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

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 .

Original languageEnglish
Pages (from-to)501-517
Number of pages17
JournalInventiones Mathematicae
Volume169
Issue number3
Early online date1 May 2007
DOIs
Publication statusPublished - Sep 2007

Keywords

  • B-N
  • representations
  • roots
  • unity

Cite this