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Let $G$ be an affine algebraic group over some algebraically closed field $K$, and let $H$ be a closed subgroup. Assume that $G$ acts algebraically on an affine variety $X$. Assume that $X'\subseteq ...

I have an linearly reductive algebraic group $G$ acting regularly on an affine variety $X$(over an algebraically closed field of characteristic 0). I want to compute the invariant ring $\mathbb{K}[X]^{...

Let $S$ be a graded ring i.e. $S_d\cdot S_e \subset S_{d+e}$ where $S_d$ is the degree $d$ part of $S$. Assume $S_{<0}$ vanishes. For simplicity, you may think of $S$ as a graded subring of $\...