On polarizations in invariant theory

Mark Losik; Peter W. Michor; Vladimir L. Popov

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On polarizations in invariant theory

Mark Losik·Peter W. Michor·Vladimir L. Popov

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Abstract

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.

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BibTeX RIS

Mark Losik, Peter W. Michor, Vladimir L. Popov. 2005-05-04. On polarizations in invariant theory. https://arxiv.org/abs/math/0505072

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