On the Generic Degrees of Cyclotomic Algebras

  title={On the Generic Degrees of Cyclotomic Algebras},
  author={Gunter Malle},
We determine the generic degrees of cyclotomic Hecke algebras attached to exceptional finite complex reflection groups. The results are used to introduce the notion of spetsial reflection group, which in a certain sense is a generalization of the finite Weyl group. In particular, to spetsial W there is attached a set of unipotent degrees which in the case of a Weyl group is just the set of degrees of unipotent characters of finite reductive groups with Weyl group W , and in general enjoys many… CONTINUE READING
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