A quotient stack related to the Weyl algebra.

DOI10.1016/J.JALGEBRA.2011.08.014zbMath1239.16040arXiv0806.0176OpenAlexW2964174198MaRDI QIDQ408499

S. Paul. Smith

Publication date: 10 April 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0176

zbMATH Keywords

Weyl algebrascoordinate ringsrings of differential operatorsquasi-coherent sheavesquotient stacksaffine group schemesgraded module categoriesgraded principal ideal domains

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Module categories in associative algebras (16D90) Group actions on varieties or schemes (quotients) (14L30) Principal ideal rings (13F10) Graded rings and modules (associative rings and algebras) (16W50) Rings of differential operators (associative algebraic aspects) (16S32) Generalizations (algebraic spaces, stacks) (14A20) Curves in algebraic geometry (14H99)

Related Items (3)

The noncommutative schemes of generalized Weyl algebras ⋮ Simple \(\mathbb{Z} \)-graded domains of Gelfand-Kirillov dimension two ⋮ ℤ-graded simple rings

Cites Work

• \(G\)-algebras, twistings, and equivalences of graded categories.
• Rings graded equivalent to the Weyl algebra.
• Noncommutative projective schemes
• Graded rings and equivalences of categories
• Erratum

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