Abstract
Let A be a connected commutative C -algebra with derivation D, G a finite linear automorphism group of A which preserves D, and R = A G the fixed point subalgebra of A under the action of G. We show that if A is generated by a single element as an R-algebra and is a Galois extension over R in the sense of M. Auslander and O. Goldman, then every finite-dimensional indecomposable vertex algebra R-module has a structure of twisted vertex algebra A-module.
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