Geometry of Quantum Principal Bundles II

DOI10.1142/S0129055X9700021XzbMath0907.58001OpenAlexW2129584783MaRDI QIDQ4363833

Mićo Đurđević

Publication date: 15 February 1999

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

Full work available at URL: https://doi.org/10.1142/s0129055x9700021x

zbMATH Keywords

noncommutative geometrycurvatureconnectionquantum principal bundle

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Applications of selfadjoint operator algebras to physics (46L60) Geometry of quantum groups (58B32) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items

Strong connections on quantum principal bundles, Quantum homogeneous spaces and coalgebra bundles, Yang-Mills-scalar-matter fields in the quantum Hopf fibration, Geometry of noncommutative algebraic principal bundles, Dunkl operators for arbitrary finite groups, THE 3D SPIN GEOMETRY OF THE QUANTUM TWO-SPHERE, Topology and noncommutative geometry. Transl. from the Russian, CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION, General frame structures on quantum principal bundles, Differential structures on quantum principal bundles, Connections on locally trivial quantum principal fibre bundles

Cites Work

• Compact matrix pseudogroups
• Quantum spheres
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantum group gauge theory on quantum spaces
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Geometry of quantum principal bundles. I