Geometry of quantum principal bundles. I

DOI10.1007/BF02099507zbMath0840.58009arXivq-alg/9507019MaRDI QIDQ1907614

Mićo Đurđević

Publication date: 18 March 1996

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

Full work available at URL: https://arxiv.org/abs/q-alg/9507019

zbMATH Keywords

quantum groupdifferential calculusnoncommutative differential geometryquantum principal bundles

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Applications of global analysis to the sciences (58Z05) Applications of differential geometry to physics (53Z05)

Related Items (13)

Strong connections on quantum principal bundles ⋮ Generalized braided quantum groups ⋮ Quantum principal bundles and Tannaka-Krein duality theory ⋮ Yang-Mills-scalar-matter fields in the quantum Hopf fibration ⋮ Geometry of Quantum Principal Bundles II ⋮ Geometry of noncommutative algebraic principal bundles ⋮ Noncommutative geometry and fundamental physical interactions: The Lagrangian level—Historical sketch and description of the present situation ⋮ A locally trivial quantum Hopf fibration. ⋮ THE 3D SPIN GEOMETRY OF THE QUANTUM TWO-SPHERE ⋮ Topology and noncommutative geometry. Transl. from the Russian ⋮ General frame structures on quantum principal bundles ⋮ Differential structures on quantum principal bundles ⋮ Connections on locally trivial quantum principal fibre bundles

Cites Work

• Unnamed Item
• Non-commutative differential geometry
• Compact matrix pseudogroups
• Quantum spheres
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Differential calculus on compact matrix pseudogroups (quantum groups)

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