invariant polynomial

An invariant polynomial is a polynomial P that is invariant under a (compact) Lie group Γ acting on a vector spaceMathworldPlanetmath V. Therefore P is Γ-invariant polynomial if P(γx)=P(x) for all γΓ and xV.


  • GSS Golubitsky, Martin. Stewart, Ian. Schaeffer, G. David: Singularities and Groups in Bifurcation Theory (Volume II). Springer-Verlag, New York, 1988.
Title invariant polynomial
Canonical name InvariantPolynomial
Date of creation 2013-03-22 13:40:19
Last modified on 2013-03-22 13:40:19
Owner Daume (40)
Last modified by Daume (40)
Numerical id 6
Author Daume (40)
Entry type Definition
Classification msc 13A50