Hecke algebras of finite type are cellular

Meinolf Josef Geck

Research output: Contribution to journalArticlepeer-review

57 Citations (Scopus)


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
Issue number3
Early online date1 May 2007
Publication statusPublished - Sept 2007


  • B-N
  • representations
  • roots
  • unity


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