Hopf algebroids from non-commutative bundles

DOI10.1142/s0129055x23500277arXiv2201.01612OpenAlexW4384930061MaRDI QIDQ6067767

Unnamed Author, Xiao Han, Giovanni Landi

Publication date: 14 December 2023

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01612

zbMATH Keywords

Hopf algebroidsquantum principal bundlesnon-commutative spheres

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Fiber bundles in algebraic topology (55R10) 2-groups, crossed modules, crossed complexes (18G45)

Cites Work

• Noncommutative principal bundles through twist deformation
• Principal homogeneous spaces for arbitrary Hopf algebras
• Principal fibrations from noncommutative spheres
• Handbook of algebra. Volume 6
• Representation theory of Hopf Galois extensions
• Groups of algebras over \(A\otimes \bar A\)
• Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules
• Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
• Gauge groups and bialgebroids
• Moduli spaces of instantons on toric noncommutative manifolds
• Hopf Algebroid Symmetry of Abstract Frobenius Extensions of Depth 2
• MODULI SPACES OF NON-COMMUTATIVE INSTANTONS: GAUGING AWAY NON-COMMUTATIVE PARAMETERS
• Multiplication alteration by two-cocycles - the quantum version
• Noncommutative manifolds, the instanton algebra and isospectral deformations
• Quantum symmetry groups of noncommutative spheres
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