Degree and valuation of the Schur elements of cyclotomic Hecke algebras
Following the generalization of the notion of families of characters, defined by Lusztig for Weyl groups, to the case of complex reflection groups, thanks to the definition given by Rouquier, we show that the degree and the valuation of the Schur elements (functions A and a) remain constant on the "families" of the cyclotomic Hecke algebras of the exceptional complex reflection groups. The same result has already been obtained for the groups of the infinite series and for some special cases of exceptional groups.
Keywords: a-function ; Families of characters ; Rouquier blocks ; Cyclotomic Hecke algebras ; Exceptional complex reflection groups ; Generic Degrees ; Irreducible Characters ; Representations ; Families ; Blocks
Record created on 2010-11-30, modified on 2016-08-09