The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras

DOI10.1007/BF00962089zbMath0809.16053OpenAlexW2065761938MaRDI QIDQ1327525

S. Paul. Smith, John Tate

Publication date: 29 March 1995

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00962089

zbMATH Keywords

presentationrelationscenterelliptic curvehomogeneous coordinate ringSklyanin algebragenetatorssheaf of algebras

Mathematics Subject Classification ID

Related Items (19)

Sklyanin algebras and their symbols ⋮ The four-dimensional Sklyanin algebras ⋮ Cocycle twists of 4-dimensional Sklyanin algebras ⋮ Graded Clifford Algebras of Prime Global Dimension with an Action ofH_p ⋮ The arithmetic of sklyanin algebras I the defining equations ⋮ Noncommutative graded domains with quadratic growth ⋮ On Yang-Baxter equation and Calabi-Yau property of Koszul algebras ⋮ Representation theory of three-dimensional Sklyanin algebras ⋮ A non-commutative homogeneous coordinate ring for the degree six del Pezzo surface ⋮ Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings ⋮ On symmetric, smooth and Calabi-Yau algebras. ⋮ Explicit representations of 3-dimensional Sklyanin algebras associated to a point of order 2 ⋮ Poisson geometry and representations of PI 4-dimensional Sklyanin algebras ⋮ Quotients of degenerate Sklyanin algebras ⋮ Feigin and Odesskii's elliptic algebras ⋮ Poisson Dixmier-Moeglin equivalence from a topological point of view ⋮ The center of some quantum projective planes ⋮ Four dimensional regular algebras with point scheme, anonsingular quadric in P³ ⋮ The geometry of representations of 3-dimensional Sklyanin algebras

Cites Work

• Twisted homogeneous coordinate rings
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Homological properties of Sklyanin algebras
• Auslander-Regular Algebras and Maximal Orders
• Twisted Graded Algebras and Equivalences of Graded Categories
• Modules over the 4-dimensional Sklyanin algebra
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