On the geometry of quantum spheres and hyperboloids

DOI10.1007/s00006-024-01339-6zbMATH Open1544.58003MaRDI QIDQ6577788

Giovanni Landi, Chiara Pagani

Publication date: 24 July 2024

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

zbMATH Keywords

quantum sphereshyperboloids

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Differential geometry of homogeneous manifolds (53C30) Geometry of quantum groups (58B32) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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• Pimsner algebras and Gysin sequences from principal circle actions
• Gauged Laplacians on quantum Hopf bundles
• Graded algebras of global dimension 3
• Quantum spheres
• Noncommutative differential geometry on the quantum two sphere of Podlès. I: An algebraic viewpoint
• Noncommutative products of Euclidean spaces
• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
• Operator representations of \(\mathcal{U}_ q(sl_ 2(\mathbb{R}))\)
• Multilinear forms and graded algebras
• Bounded and unbounded Fredholm modules for quantum projective spaces
• Landau quantum systems: an approach based on symmetry

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