NDLI: Reduced invariant sets

Content Provider	Springer Nature Link
Author	Schwarz, Gerald W.
Copyright Year	2011
Abstract	Let K be a compact Lie group and W a finite-dimensional real K-module. Let X be a K-stable real algebraic subset of W. Let $${\mathcal{I}(X)}$$ denote the ideal of X in $${\mathbb{R}[W]}$$ and let $${\mathcal{I}_{K}(X)}$$ be the ideal generated by $${\mathcal{I}(X)^{K}}$$ . We find necessary conditions and sufficient conditions for $${{\mathcal{I}(X) = \mathcal{I}_{K}(X)}}$$ and for $${{\sqrt{\mathcal{I}_{K}(X)} = \mathcal{I}(X)}}$$ . We consider analogous questions for actions of complex reductive groups.
Starting Page	359
Ending Page	367
Page Count	9
File Format	PDF
ISSN	16617738
Journal	Journal of Fixed Point Theory and Applications
Volume Number	10
Issue Number	2
e-ISSN	16617746
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2011-10-13
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Invariant polynomials reduced saturated Linear algebraic groups over the reals, the complexes, the quaternions Compact Lie groups of differentiable transformations Analysis Mathematical Methods in Physics Mathematics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Modeling and Simulation

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Reduced invariant sets