Actions of linearly reductive groups on pi-algebras

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Abstract

Let G be a linearly reductive group acting rationally on a PIalgebra R. We study the relationship between R and the fixed ring RG , generalizing earlier results obtained under the additional hypothesis that R is affine.

Original languageEnglish
Pages (from-to)425-442
Number of pages18
JournalTransactions of the American Mathematical Society
Volume335
Issue number1
DOIs
StatePublished - Jan 1993

Keywords

  • Group actions
  • Inner automorphisms
  • Linearly reductive groups
  • Noetherian rings
  • Pi-algebras

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