Invariant Theory of Abelian Transvection Groups


Let G be a finite group acting linearly on the vector space V over a field of arbitrary characteristic. The action is called coregular if the invariant ring is generated by algebraically independent homogeneous invariants and the direct summand property holds if there is a surjective k[V ]-linear map π : k[V ] → k[V ]. The following Chevalley–Shephard–Todd… (More)