Tannaka–Kreĭn duality for compact quantum homogeneous spaces II. Classification of quantum homogeneous spaces for quantum SU(2)
-
Kenny De Commer
and
Makoto Yamashita
Abstract
We apply the Tannaka–Kreĭn duality theory for quantum homogeneous spaces, developed in the first part of this series of papers, to the case of the quantum SU(2) groups. We obtain a classification of their quantum homogeneous spaces in terms of weighted oriented graphs. The equivariant maps between these quantum homogeneous spaces can be characterized by certain quadratic equations associated with the braiding on the representations of
Funding source: Danish National Research Foundation, Centre for Symmetry and Deformation
Award Identifier / Grant number: DNRF92
We would again like to thank T. Banica, R. Conti, Y. Kawahigashi, R. Meyer, S. Neshveyev, V. Ostrik, C. Pinzari, N. Snyder, S. Vaes, C. Voigt, and particularly R. Tomatsu, for valuable discussions both on the content and on the presentation of this paper. M.Y. is supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92).
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- The length metric on the set of orthogonal projections and new estimates in the subspace perturbation problem
- A Giambelli formula for even orthogonal Grassmannians
- Lifting in Frattini covers and a characterization of finite solvable groups
- Note on basic features of large time behaviour of heat kernels
- A decomposition theorem in II1-factors
- Wonderful resolutions and categorical crepant resolutions of singularities
- Tannaka–Kreĭn duality for compact quantum homogeneous spaces II. Classification of quantum homogeneous spaces for quantum SU(2)
- An approach of the minimal model program for horospherical varieties via moment polytopes
- Height of exceptional collections and Hochschild cohomology of quasiphantom categories
Articles in the same Issue
- Frontmatter
- The length metric on the set of orthogonal projections and new estimates in the subspace perturbation problem
- A Giambelli formula for even orthogonal Grassmannians
- Lifting in Frattini covers and a characterization of finite solvable groups
- Note on basic features of large time behaviour of heat kernels
- A decomposition theorem in II1-factors
- Wonderful resolutions and categorical crepant resolutions of singularities
- Tannaka–Kreĭn duality for compact quantum homogeneous spaces II. Classification of quantum homogeneous spaces for quantum SU(2)
- An approach of the minimal model program for horospherical varieties via moment polytopes
- Height of exceptional collections and Hochschild cohomology of quasiphantom categories
