Liftings of pseudo-reflection groups of toric quotients of Krull schemes

الأصل · EN

Let G be an affine algebraic group with a reductive identity component G⁰ acting regularly on an affine Krull scheme X = Spec (R) over an algebraically closed field. Let T be an algebraic subtorus of G and suppose that Q(R)ᵗ= Q(Rᵗ) of quotient fields. We will show: If G is the centralizer of T in G, then the pseudo-reflections of the action of G on Rᵗ can be lifted to those on R.