(A class of) Hodge duality operators over the quantum \(\mathrm{SU}(2)\)

DOI10.1016/j.geomphys.2012.03.009zbMath1271.81083arXiv1104.0425OpenAlexW2072526202MaRDI QIDQ423703

Alessandro Zampini

Publication date: 4 June 2012

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

Full work available at URL: https://arxiv.org/abs/1104.0425

zbMATH Keywords

Laplaciandifferential calculi on Hopf algebraHodge operator

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87) Geometry of quantum groups (58B32) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (3)

Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Warped products and Yang-Mills equations on noncommutative spaces ⋮ HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES

Cites Work

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• Laplacians and gauged Laplacians on a quantum Hopf bundle
• THE 3D SPIN GEOMETRY OF THE QUANTUM TWO-SPHERE
• CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION
• Noncommutative Manifolds and Quantum Groups
• Quantum groups, differential calculi and the eigenvalues of the Laplacian

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