Quantum projective planes as certain graded twisted tensor products

DOI10.1016/j.jalgebra.2022.11.033OpenAlexW3177679520MaRDI QIDQ2685356

Peter Goetz, Andrew Conner

Publication date: 21 February 2023

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

Full work available at URL: https://arxiv.org/abs/2107.03612

zbMATH Keywords

Artin-Schelter regular algebrasnoncommutative algebraic geometrySklyanin algebrastwisted tensor products

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Cites Work

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• Graded algebras of global dimension 3
• ``Degenerate 3-dimensional Sklyanin algebras are monomial algebras.
• The Koszul property for graded twisted tensor products
• Classification, Koszulity and Artin-Schelter regularity of certain graded twisted tensor products
• An isomorphism lemma for graded rings
• The Arithmetic of Elliptic Curves
• On twisted tensor products of algebras
• GRADED MORITA EQUIVALENCES FOR GEOMETRIC AS-REGULAR ALGEBRAS
• Defining relations of 3-dimensional quadratic AS-regular algebras
• A Complete Classification of 3-dimensional Quadratic AS-regular Algebras of Type EC

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