6 citations · 11 across the 4 of their papers we have counts for
14 papers
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…
Noncommutative Ricci curvature and Dirac operator on at roots of unity
Shahn Majid
We find a unique torsion free Riemannian spin connection for the natural Killing metric on the quantum group , using a recent frame bundle formulation. We find that its…
Classification of differentials and Cartan calculus on bicrossproducts
F. Ngakeu, S. Majid, J-P. Ezin
We provide the Cartan calculus for bicovariant differential forms on bicrossproduct quantum groups $k(M)\lrbicross kG$ associated to finite group factorizations and a field…
Classification of differentials on quantum doubles and finite noncommutative geometry
S. Majid
We discuss the construction of finite noncommutative geometries on Hopf algebras and finite groups in the `quantum groups approach'. We apply the author's previous classification t…