Differential calculus on compact quantum group \(U_\vartheta (2)\) and its applications

DOI10.1007/s10114-010-7592-yzbMath1208.58007OpenAlexW2400569746MaRDI QIDQ2269614

Xiaoxia Zhang

Publication date: 17 March 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7592-y

zbMATH Keywords

Lie algebradifferential calculuscompact quantum groupirreducible corepresentation

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry of quantum groups (58B32) Noncommutative geometry (à la Connes) (58B34)

Related Items (2)

On the classification of compact quantum groups \(U_{\theta}(2)\) ⋮ Representations and classification of the compact quantum groups Uq(2) for complex deformation parameters

Cites Work

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• Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
• Equivariant spectral triples on the quantum SU(2) group
• The compact quantum group \(U_q(2)\). II
• The compact quantum group \(U_q(2)\). I
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• CYCLIC COHOMOLOGY, QUANTUM GROUP SYMMETRIES AND THE LOCAL INDEX FORMULA FOR SU q (2)

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