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 language | English |
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Pages (from-to) | 501-517 |
Number of pages | 17 |
Journal | Inventiones Mathematicae |
Volume | 169 |
Issue number | 3 |
Early online date | 1 May 2007 |
DOIs | |
Publication status | Published - Sept 2007 |
Keywords
- B-N
- representations
- roots
- unity