A note on linearization of actions of finitely semisimple Hopf algebras on local algebras (Q1295577)

An action of a Hopf algebra \(H\) on a commutative local Noetherian \(k\)-algebra \((A,{\mathfrak m})\) is called linearizable if there exists a minimal system \(x_1,\dots,x_n\) of generators for the maximal ideal \(\mathfrak m\), such that the action stabilizes the subspace spanned by the \(x_i\)'s. It is proved that the actions of a certain class are linearizable, and consequences of this fact are derived.