Quantum planes of weight \((1,1,n)\)

DOI10.1006/jabr.1999.8093zbMath0952.16044OpenAlexW1988877152MaRDI QIDQ1972026

Darin R. Stephenson

Publication date: 13 August 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8093

zbMATH Keywords

Artin-Schelter regular algebrasgraded automorphismsOre extensionsnoncommutative schemesquantum planesfinite-dimensional modulespoint modulescategories of graded right modules

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary and skew polynomial rings and semigroup rings (16S36) Elliptic curves (14H52) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10)

Related Items (7)

Basic properties of generalized down-up algebras. ⋮ Central Extensions of Stephenson's Algebras ⋮ Maps between non-commutative spaces ⋮ Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras. ⋮ Quantum projective 3-spaces which embed weighted quantum planes. ⋮ Noetherian connected graded algebras of global dimension 3 ⋮ Blowing up quantum weighted projective planes.

Cites Work

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• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Noncommutative projective schemes
• Artin-Schelter regular algebras of global dimension three
• A translation principle for the four-dimensional Sklyanin algebras
• Espaces projectifs anisotropes
• Algebras associated to elliptic curves
• Growth of graded noetherian rings
• Modules Over Elliptic Algebras and Quantum Planes
• Twisted Graded Algebras and Equivalences of Graded Categories

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