Noncommutative Euclidean spaces

DOI10.1016/j.geomphys.2018.04.006zbMath1392.58007arXiv1801.03410OpenAlexW2783267170MaRDI QIDQ1635480

Michel Dubois-Violette, Giovanni Landi

Publication date: 6 June 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03410

zbMATH Keywords

Yang-Baxter equationsnoncommutative torinoncommutative Euclidean spaces

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (4)

Noncommutative products of Euclidean spaces ⋮ Exceptional quantum geometry and particle physics. II ⋮ The q-linked complex Minkowski space, its real forms and deformed isometry groups ⋮ Principal fibrations over noncommutative spheres

Cites Work

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• Nonhomogeneous quadratic duality and curvature
• Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
• Moduli space and structure of noncommutative 3-spheres
• Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
• Multilinear forms and graded algebras
• Hochschild dimension for graded algebras.
• PBW-deformation theory and regular central extensions
• Noncommutative manifolds, the instanton algebra and isospectral deformations

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