802 citations · 2.6k across the 100 of their papers we have counts for
4 papers · 1 filter
Moduli of quantum Riemannian geometries on <= 4 points
S. Majid, E. Raineri
We classify parallelizable noncommutative manifold structures on finite sets of small size in the general formalism of framed quantum manifolds and vielbeins introduced previously.…
Noncommutative Riemannian and Spin Geometry of the Standard q-Sphere
S. Majid
We study the quantum sphere as a quantum Riemannian manifold in the quantum frame bundle approach. We exhibit its 2-dimensional cotangent bundle as a direct sum $Ω^{0,1}…
Semi-classical differential structures
E. J. Beggs, S. Majid
We semiclassicalise the standard notion of differential calculus in noncommutative geometry on algebras and quantum groups. We show in the symplectic case that the infinitesimal da…
Noncommutative physics on Lie algebras, Z_2^n lattices and Clifford algebras
S. Majid
We survey noncommutative spacetimes with coordinates being enveloping algebras of Lie algebras. We also explain how to do differential geometry on noncommutative spaces that are ob…