20 citations · 20 across the 3 of their papers we have counts for
5 papers
Global symbolic calculus of pseudo-differential operators on homogeneous vector bundles
Mitsuru Wilson
A symbolic calculus for a pseudo-differential operators acting on sections of a homogeneous vector bundle over a compact homogeneous space with compact and is develop…
Connes-Landi spheres are homogeneous spaces
Mitsuru Wilson
In this paper, we review some recent developments of compact quantum groups that arise as -deformations of compact Lie groups of rank at least two. A -deformation is merely a…
Quantum symmetries of the deformation quantization of
Mitsuru Wilson
We prove a criterion of when a coaction of a compact Lie group on an algebra of continuous functions on a compact manifold extends to a coaction of deformation quantizations of the…
On the Gauss-Chern-Bonnet theorem for the noncommutative 4-sphere
Joakim Arnlind, Mitsuru Wilson
We construct a differential calculus over the noncommutative 4-sphere in the framework of pseudo-Riemannian calculi, and show that for every metric in a conformal class of perturba…
Riemannian curvature of the noncommutative 3-sphere
Joakim Arnlind, Mitsuru Wilson
In order to investigate to what extent the calculus of classical (pseudo-)Riemannian manifolds can be extended to a noncommutative setting, we introduce pseudo-Riemannian calculi o…