On polarizations in invariant theory

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

On polarizations in invariant theory

Algebraic Geometry 2007-05-23 v1

Authors: Mark Losik , Peter W. Michor , Vladimir L. Popov

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.

Keywords

invariant theory algebraic group actions graded algebras

Cite

@article{arxiv.math/0505072,
  title  = {On polarizations in invariant theory},
  author = {Mark Losik and Peter W. Michor and Vladimir L. Popov},
  journal= {arXiv preprint arXiv:math/0505072},
  year   = {2007}
}

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15 pages

On polarizations in invariant theory

Abstract

Keywords

Cite

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