CONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETS
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Publication:5312013
DOI10.1142/S0217979200001953zbMath1073.83510arXivmath/0006152OpenAlexW2120212540MaRDI QIDQ5312013
Publication date: 30 August 2005
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0006152
Noncommutative algebraic geometry (14A22) Geometry of quantum groups (58B32) Methods of noncommutative geometry in general relativity (83C65)
Related Items (7)
Conservation laws for a class of nonlinear equations with variable coefficients on discrete and noncommutative spaces ⋮ Finite group discretization of Yang-Mills and Einstein actions ⋮ Noncommutative unification of general relativity and quantum mechanics ⋮ Noncommutative Riemannian geometry of the alternating group \({\mathcal A}_{4}\) ⋮ Connes' spectral triple and \(U\)(1) gauge theory on finite sets ⋮ Electromagnetism and gauge theory on the permutation group \(S_{3}\). ⋮ \(\mathbb Z_2 \times \mathbb Z_2\) lattice as a Connes-Lott-quantum group model
Cites Work
- Quantum differentials and the \(q\)-monopole revisited
- Classification of bicovariant differential calculi
- Quantum and braided group Riemannian geometry
- Quantum and braided diffeomorphism groups
- Quasitriangular and differential structures on bicrossproduct Hopf algebras
- Quantum group gauge theory on quantum spaces
- Quantum and braided-Lie algebras
- Coalgebra bundles
- Twisting of quantum differentials and the Planck scale Hopf algebra
- Differential calculus on compact matrix pseudogroups (quantum groups)
- QUANTUM RANDOM WALKS AND TIME REVERSAL
- Hopf algebras for physics at the Planck scale
- ON q-REGULARIZATION
- Quantum geometry of field extensions
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