Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let $G$ be a finite reflection group acting on $R^n$. Then for each point $x\in R^n$ we can look at its stabilizer $G_x$. Since $G$ is a finite reflection group, its ring of invariants is a polynomial ring in $n$ algebraically independent polynomials, i.e. $R[X]^G=R[p_1,\ldots, p_n]$. Now suppose I have these generators, is there a way to get the generators of the invariant ring of the groups $G_x$, which are also finite reflection groups?

share|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.