Poénaru (1976) theorem


Let Γ be a compact Lie group and let g1,,gr generate the module 𝒫(Γ)(the space of Γ-equivariant polynomialPlanetmathPlanetmath mappings) of Γ-equivariant polynomials over the ring 𝒫(Γ)(the ring of Γ-invariant polynomial). Then g1,,gr generate the module (Γ)(the space of Γ-equivariant germs at the origin of C mappings) over the ring (Γ)(the ring of Γ-invariant germs). [GSS]

References

  • GSS Golubitsky, Martin. Stewart, Ian. Schaeffer, G. David: Singularities and Groups in Bifurcation Theory (Volume II). Springer-Verlag, New York, 1988.
  • PV Poénaru, V.:Singularités C en Présence de Symétrie. Lecture Notes in Mathematics 510, Springer-Verlag, Berlin, 1976.
Title Poénaru (1976) theorem
Canonical name Poenaru1976Theorem
Date of creation 2013-03-22 13:40:59
Last modified on 2013-03-22 13:40:59
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 6
Author mathcam (2727)
Entry type Theorem
Classification msc 37G40