A quotient stack related to the Weyl algebra

Details A quotient stack related to the Weyl algebra A quotient stack related to the Weyl algebra

2008-06-01

arxiv.org/abs/0806.0176v2

Mathematics

Rings and Algebras

Keywords:Weyl algebra, graded module category, category equivalence, graded principal ideal domain, quotient stack

Scientific paper

Let A denote the ring of differential operators on the affine line with its two usual generators t and d/dt given degrees +1 and -1 respectively. Let X be the stack having coarse moduli space the affine line Spec k[z] and isotropy groups Z/2 at each integer point. Then the category of graded A-modules is equivalent to the category of quasi-coherent sheaves on X. Version 2: corrected typos and deleted appendix at referee's suggestion.

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