Tannaka-Krein duality for compact quantum homogeneous spaces. II. Classification of quantum homogeneous spaces for quantum SU(2)

摘要: We apply the Tannaka-Krein duality theory for quantum homogeneous spaces, developed in first part of this series papers, to case SU(2) groups. obtain a classification their spaces terms weighted oriented graphs. The equivariant maps between these can be characterized by certain quadratic equations associated with braiding on representations SUq(2). show that, |q| close 1, all are realized coideals.