Mathematics – Algebraic Geometry
Scientific paper
2005-05-04
J. Algebra, vol. 301 (2006), no. 1, 406--424.
Mathematics
Algebraic Geometry
15 pages
Scientific paper
Given a reductive algebraic group $G$ and a finite dimensional algebraic
$G$-module $V$, we study how close is the algebra of $G$-invariant polynomials
on $V^{\oplus n}$ to the subalgebra generated by polarizations of $G$-invariant
polynomials on $V$. We address this problem in a more general setting of
$G$-actions on arbitrary affine varieties.
Losik Mark
Michor Peter W.
Popov Vladimir L.
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