Abstract
In this paper, we extend central portions of the geometric invariant theory for reductive groups G to nonreductive subgroups H satisfying the codimension 2 condition on G/H. First, the separated orbits for such subgroups are described using a one-parameter subgroup criterion. Second, the desired theorems concerning quotient varieties for spaces of separated orbits are proved.
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Grosshans, F.D. Separated orbits for certain non-reductive subgroups. Manuscripta Math 62, 205–217 (1988). https://doi.org/10.1007/BF01278979
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DOI: https://doi.org/10.1007/BF01278979