# 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 InvariantPolynomial 2013-03-22 13:40:19 2013-03-22 13:40:19 Daume (40) Daume (40) 6 Daume (40) Definition msc 13A50