Riemannian geometry of quantum groups and finite groups with nonuniversal differentials
From MaRDI portal
Publication:5961019
DOI10.1007/s002201000564zbMath0999.58004arXivmath/0006150OpenAlexW2016562307WikidataQ115388544 ScholiaQ115388544MaRDI QIDQ5961019
Publication date: 22 April 2002
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0006150
Quantization of the gravitational field (83C45) Methods of noncommutative geometry in general relativity (83C65) Quantum groups (quantized function algebras) and their representations (20G42) Noncommutative geometry (à la Connes) (58B34)
Related Items (24)
Riemannian geometry on Hom-\(\rho\)-commutative algebras ⋮ De Rham complex for quantized irreducible flag manifolds ⋮ Universal κ-Poincaré covariant differential calculus over κ-Minkowski space ⋮ Noncommutative geometry of angular momentum space U(su(2)) ⋮ Differential geometry of group lattices ⋮ Noncommutative Riemannian geometry on graphs ⋮ *-compatible connections in noncommutative Riemannian geometry ⋮ Statistical $\rho$-commutative algebras ⋮ Almost commutative Riemannian geometry: Wave operators ⋮ Involutive representations of coordinate algebras and quantum spaces ⋮ Lie theory of finite simple groups and the Roth property ⋮ Covariantization of quantized calculi over quantum groups ⋮ (para-) Kähler structures on \(\rho \)-commutative algebras ⋮ Moduli of quantum Riemannian geometries on ⩽4 points ⋮ Warped products and Yang-Mills equations on noncommutative spaces ⋮ Cartan calculus for quantum differentials on bicrossproducts ⋮ Poisson principal bundles ⋮ Noncommutative Riemannian and spin geometry of the standard \(q\)-sphere ⋮ Generalised noncommutative geometry on finite groups and Hopf quivers ⋮ A LERAY SPECTRAL SEQUENCE FOR NONCOMMUTATIVE DIFFERENTIAL FIBRATIONS ⋮ HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES ⋮ Noncommutative Riemannian geometry of the alternating group \({\mathcal A}_{4}\) ⋮ 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
This page was built for publication: Riemannian geometry of quantum groups and finite groups with nonuniversal differentials
