On the number of simple modules of Iwahori–Hecke algebras of finite Weyl groups
نویسنده
چکیده
Let Hk(W, q) be the Iwahori–Hecke algebra associated with a finite Weyl group W , where k is a field and 0 6= q ∈ k. Assume that the characteristic of k is not “bad” for W and let e be the smallest i > 2 such that 1+q+q+· · ·+q = 0. We show that the number of simple Hk(H, q)-modules is “generic”, i.e., it only depends on e. The proof uses some computations in the CHEVIE package of GAP and known results due to Dipper–James, Ariki–Mathas, Rouquier and the author.
منابع مشابه
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