invariant polynomial

An invariant polynomial is a polynomial $P$ that is invariant under a (compact) Lie group $\Gamma$ acting on a vector space $V$ . Therefore $P$ is $\Gamma$ -invariant polynomial if $P(\gamma x)=P(x)$ for all $\gamma\in\Gamma$ and $x\in V$ .

References

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