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for questions on geometric invariant theory (or GIT), including stability criteria and symplectic quotients.

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Reference on reductive group acting on quotient algebra

With some help, I now see that this result is not so hard. As Jason points out, we get a $k[G]$-module complement to $J$ in $R$, call it $C$. Obviously the projection $R \rightarrow C$ restricts to …
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Reference on reductive group acting on quotient algebra

In unpublished notes by Yi Hu (which appear to be no longer online), I found the following: Corollary 2.4.5. Let the characteristic of $k$ is zero. Assume that a reductive group $G$ acts rationall …
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