Automorphism groupoids in noncommutative projective geometry

DOI10.1016/j.jalgebra.2022.03.045OpenAlexW2883832322MaRDI QIDQ2136912

Jan E. Grabowski, Nicholas Cooney

Publication date: 16 May 2022

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

Full work available at URL: https://arxiv.org/abs/1807.06383

zbMATH Keywords

Zhang twistnoncommutative projective geometrypoint scheme

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Module categories in associative algebras (16D90) Quantum groups (quantized function algebras) and their representations (20G42) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (1)

Twisted algebras of geometric algebras

Cites Work

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• Representation theory of three-dimensional Sklyanin algebras
• Graded Artin algebras
• Modules over regular algebras of dimension 3
• Noncommutative projective schemes
• Automorphisms of \(\check U_ q({\mathfrak b}^ +)\)
• Spectrum of the quantized Weyl algebra
• On the center of 3-dimensional and 4-dimensional Sklyanin algebras
• Quantum deformations of projective three-space
• The Launois-Lenagan conjecture.
• Rigidity of quantum tori and the Andruskiewitsch-Dumas conjecture
• The point variety of quantum polynomial rings
• Noncommutative curves and noncommutative surfaces
• Graded Rings and Graded Grothendieck Groups
• Unipotent and Nakayama automorphisms of quantum nilpotent algebras
• The Arithmetic of Elliptic Curves
• Derivations et automorphismes de quelques algebras quantiques
• A wild automorphism ofUsl(2)
• Twisted Graded Algebras and Equivalences of Graded Categories
• Defining relations of 3-dimensional quadratic AS-regular algebras
• AUTOMORPHISMS OF QUANTUM MATRICES

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