... completes our proof since the manipulations at the beginning of the section prove that the two quotients in (5.42) have the same Hilbert series References [1] Yu Berest, P Etingof and V Ginzburg, Cherednik ... gives that the rational function in (5.43) gives the Hilbert series of Q[u, v, y]/ (Bm , Cm , v 2m ) The extra factor of (1 − t) in the denominator accounting for the presence of the extra variable ... from a more elementary point of view In this vein we find particularly intriguing in (1.4) the degree shift of each isotypic component of QI m expressed by the presence of the factor n q m ( )−cλ...