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- W4290443392 abstract "We prove that the Weyl algebra over $mathbb{C}$ cannot be a fixed ring of any domain under a nontrivial action of a finite group by algebra automorphisms, thus settling a 30-year old problem. In fact, we prove the following much more general result. Let $X$ be a smooth affine variety over $mathbb{C}$, let $D(X)$ denote the ring of algebraic differential operators on $X,$ and let $Gamma$ be a finite group. If $D(X)$ is isomorphic to the ring of $Gamma$-invariants of a $mathbb{C}$-domain $R$ on which $Gamma$ acts faithfully by $mathbb{C}$-algebra automorphisms, then $R$ is isomorphic to the ring of differential operators on a $Gamma$-Galois covering of $X.$" @default.
- W4290443392 created "2022-08-07" @default.
- W4290443392 creator A5071143950 @default.
- W4290443392 date "2017-08-25" @default.
- W4290443392 modified "2023-09-23" @default.
- W4290443392 title "The Weyl algebra as a fixed ring" @default.
- W4290443392 doi "https://doi.org/10.48550/arxiv.1708.07923" @default.
- W4290443392 hasPublicationYear "2017" @default.
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