Modules Over Elliptic Algebras and Quantum Planes

DOI10.1112/plms/s3-72.3.567zbMath0852.16030OpenAlexW2135097525MaRDI QIDQ4892396

Kaushal Ajitabh

Publication date: 9 December 1996

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-72.3.567

zbMATH Keywords

elliptic curvesCohen-Macaulay modulesGelfand-Kirillov dimensionquantum planesline modulespoint modulesmodules over elliptic algebrasnon-commutative projective planesone-dimensional schemes

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Elliptic curves (14H52) Deformations of associative rings (16S80) Graded rings and modules (associative rings and algebras) (16W50) Linear incidence geometry (51A99)

Related Items (12)

Hilbert series of modules of GK-dimension two over elliptic algebras. ⋮ Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras ⋮ Ideals of cubic algebras and an invariant ring of the Weyl algebra. ⋮ Blowup subalgebras of the Sklyanin algebra ⋮ Quantum planes of weight \((1,1,n)\) ⋮ Bézout's theorem for non-commutative projective spaces ⋮ Ideal classes of three dimensional Artin-Schelter regular algebras. ⋮ Noncommutative matrix factorizations with an application to skew exterior algebras ⋮ Residue complex for Sklyanin algebras of dimension three ⋮ Regular modules over 2-dimensional quantum Beilinson algebras of type \(S\) ⋮ Existence of critical modules of GK-dimension 2 over elliptic algebras ⋮ Noncommutative blowups of elliptic algebras

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