The arithmetic of sklyanin algebras I the defining equations

DOI10.1080/00927879408824831zbMath0811.17008OpenAlexW1975643869MaRDI QIDQ4282872

Lieven Le Bruyn

Publication date: 2 May 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824831

zbMATH Keywords

quadratic algebraelliptic curvecyclicitytwisted homogeneous coordinate ringdefining equations3-dimensional Sklyanin algebraelements of degree \(p\)

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 (1)

Sklyanin algebras and their symbols

Cites Work

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• Graded algebras of global dimension 3
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Sklyanin algebras and their symbols
• The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras
• On Normal Division Algebras of Index 5

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