A note on linearization of actions of finitely semisimple Hopf algebras on local algebras
type: Item
instance of: scholarly article
title: A note on linearization of actions of finitely semisimple Hopf algebras on local algebras
zbMATH Open document ID: 0942.16036
DOI: 10.1016/S0022-4049(97)00148-5
author: Andrzej Tyc
author: M. Boratynski
published in: Journal of Pure and Applied Algebra
publication date: 2000-01-25T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 1308216
zbMATH Keywords: actions of Hopf algebras
zbMATH Keywords: local Noetherian algebras
zbMATH Keywords: linearizable actions
reviewed by: Serban Raianu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1308216