Regularity of Algebras Related to the Sklyanin Algebra

DOI10.2307/2154589zbMath0823.17018OpenAlexW4246790754MaRDI QIDQ4286816

J. Toby Stafford

Publication date: 2 May 1994

Full work available at URL: https://doi.org/10.2307/2154589

zbMATH Keywords

Hilbert seriesKoszul algebraSklyanin algebrasAS-regular algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Elliptic curves (14H52) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (10)

Embedding a quantum rank three quadric in a quantum P³ ⋮ Cocycle twists of 4-dimensional Sklyanin algebras ⋮ Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\) ⋮ Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras. ⋮ Noncommutative curves and noncommutative surfaces ⋮ Exotic elliptic algebras of dimension 4. With an appendix by Derek Tomlin ⋮ Some quantum P³s with infinitely many points ⋮ Superpotentials and higher order derivations. ⋮ A geometric invariant of 6-dimensional subspaces of 4×4 matrices ⋮ Normalizing extensions of the two-Veronese of a three dimensional Artin-Schelter regular algebra on two generators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sklyanin elliptic algebras
• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Vector Bundles Over an Elliptic Curve
• Some properties of non-commutative regular graded rings
• Auslander-Regular Algebras and Maximal Orders
• Koszul Resolutions

This page was built for publication: Regularity of Algebras Related to the Sklyanin Algebra