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 language | English (US) |
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Pages (from-to) | 463-482 |
Number of pages | 20 |
Journal | Transactions of the American Mathematical Society |
Volume | 292 |
Issue number | 2 |
DOIs | |
State | Published - Dec 1985 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics