fixed-point subspace

Let ΣΓ be a subgroupMathworldPlanetmathPlanetmath where Γ is a compact Lie Group acting on a vector spaceMathworldPlanetmath V. The fixed-point subspace of Σ is


Fix(Σ) is a linear subspace of V since


where I is the identityPlanetmathPlanetmath. If it is important to specify the space V we use the following notation FixV(Σ).


  • GSS Golubitsky, Martin. Stewart, Ian. Schaeffer, G. David: Singularities and Groups in Bifurcation Theory (Volume II). Springer-Verlag, New York, 1988.
Title fixed-point subspace
Canonical name FixedpointSubspace
Date of creation 2013-03-22 13:44:31
Last modified on 2013-03-22 13:44:31
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 7
Author mathcam (2727)
Entry type Definition
Classification msc 22-00
Classification msc 15A03