nLab Podleś sphere

Idea

Podleś spheres are a family of examples of quantum group-analogues of homogeneous spaces which are $q$-deformations of the usual 2-sphere.

References

• Piotr Podleś, Symmetries of quantum spaces. Subgroups and quotient spaces of quantum SU(2) and SO(3) groups, Commun.Math.Phys. 170 (1995) 1-20 doi hep-th/9402069
• F. Bonechi, N. Ciccoli, N. Staffolani, M. Tarlini, The quantization of the symplectic groupoid of the standard Podleś sphere, J. Geom. Phys. 62:8 (2012) 1851-1865 doi arXiv:1004.3163