Podleś' quantum sphere: dual coalgebra and classification of covariant first-order differential calculus.

DOI10.1016/S0021-8693(03)00100-5zbMath1092.58004arXivmath/0204264MaRDI QIDQ1812161

Stefan Kolb, István Heckenberger

Publication date: 18 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0204264

zbMATH Keywords

quantum groupsdifferential calculusdual coalgebraPodleś' quantum sphere

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32) Ring-theoretic aspects of quantum groups (16T20)

Related Items (3)

Homological smoothness and deformations of generalized Weyl algebras ⋮ Quantum symmetric pairs and the reflection equation ⋮ Quantum spheres for OSpq(1∕2)

Cites Work

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• Quantum spheres
• The classification of differential structures on quantum 2-spheres
• Construction of covariant differential calculi on quantum homogeneous spaces
• Classification of three-dimensional covariant differential calculi on Podles' quantum spheres and on related spaces
• Quantum homogeneous spaces with faithfully flat module structures
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Classification of bicovariant differential calculi on the quantum groups SLq(n+1) and Spq(2n)
• DERIVATIONS WITH QUANTUM GROUP ACTION
• The locally finite part of the dual coalgebra of quantized irreducible flag manifolds

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