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- W1563976070 abstract "This note considers a finite algebraic group $G$ acting on an affine variety $X$ by automorphisms. Results of Dufresne on polynomial separating algebras for linear representations of $G$ are extended to this situation. For that purpose, we show that the Cohen-Macaulay defect of a certain ring is greater than or equal to the minimal number $k$ such that the group is generated by $(k+1)$-reflections. Under certain rather mild assumptions on $X$ and $G$ we deduce that a separating set of invariants of the smallest possible size $n = dim(X)$ can exist only for reflection groups." @default.
- W1563976070 created "2016-06-24" @default.
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- W1563976070 date "2013-07-29" @default.
- W1563976070 modified "2023-09-27" @default.
- W1563976070 title "Polynomial Separating Algebras and Reflection Groups" @default.
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