Linearizing certain reductive group actions
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- by H. Bass and W. Haboush
- Trans. Amer. Math. Soc. 292 (1985), 463-482
- DOI: https://doi.org/10.1090/S0002-9947-1985-0808732-4
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Abstract:
Is every algebraic action of a reductive algebraic group $G$ on affine space ${{\mathbf {C}}^n}$ equivalent to a linear action? The "normal linearization theorem" proved below implies that, if each closed orbit of $G$ is a fixed point, then ${{\mathbf {C}}^n}$ is $G$-equivariantly isomorphic to ${({{\mathbf {C}}^n})^G} \times {{\mathbf {C}}^m}$ for some linear action of $G$ on ${{\mathbf {C}}^m}$.References
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Bibliographic Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 292 (1985), 463-482
- MSC: Primary 14L30; Secondary 20G05
- DOI: https://doi.org/10.1090/S0002-9947-1985-0808732-4
- MathSciNet review: 808732