Abstract
Let H be a Hopf algebra over a field k and let H ⊗ A → A, h ⊗ a → h. a, be an action of H on a commutative local Noetherian kalgebra ( A, m). We say that this action is linearizable if there exists a minimal system x 1, …, x n of generators of the maximal ideal m such that h. x i ϵ kx 1 + …+ kx n for all h ϵ H and i = 1, …, n. In the paper we prove that the actions from a certain class are linearizable (see Theorem 4), and we indicate some consequences of this fact.
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