In mathematics, the Springer representations are certain representations of the Weyl group W associated to unipotent conjugacy classes of a semisimple algebraic group G. There is another parameter involved, a representation of a certain finite group A canonically determined by the unipotent conjugacy class. To each pair consisting of a unipotent element u of G and an irreducible representation φ of A, one can associate either an irreducible representation of the Weyl group, or 0. Wikipedia