Linearizing certain reductive group actions

H. Bass, W. Haboush

Research output: Contribution to journalArticlepeer-review

Abstract

Is every algebraic action of a reductive algebraic group G on affine space Cn equivalent to a linear action? The “normal linearization theorem” proved below implies that, if each closed orbit of G is a fixed point, then Cn is G-equivariantly isomorphic to (Cn)G X Cm for some linear action of G on Cm.

Original languageEnglish (US)
Pages (from-to)463-482
Number of pages20
JournalTransactions of the American Mathematical Society
Volume292
Issue number2
DOIs
StatePublished - Dec 1985
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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