Sklyanin algebras and their symbols

DOI10.1007/BF00962088zbMath0811.17009OpenAlexW1977867895MaRDI QIDQ1327524

Lieven Le Bruyn

Publication date: 3 April 1995

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

Full work available at URL: https://doi.org/10.1007/bf00962088

zbMATH Keywords

finite dimensional division algebracyclicity of division rings of Sklyanin algebrascyclicity problempoint and line quotient 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 (2)

The arithmetic of sklyanin algebras I the defining equations ⋮ The geometry of representations of 3-dimensional Sklyanin algebras

Cites Work

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• Twisted homogeneous coordinate rings
• Algebraic elements in division algebras over function fields of curves
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras
• Dihedral Algebras are Cyclic
• The arithmetic of sklyanin algebras I the defining equations

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