Quantum $\mathrm{SO}(3)$ groups and quantum group actions on $M_2$

Abstract

Answering a question of Shuzhou Wang we give a description of quantum $\SO(3)$ groups of Podleś as universal objects. We use this result to give a complete classification of all continuous compact quantum group actions on $M_2$.

19 pages

References in corpus (1)

• Quantum families of maps and quantum semigroups on finite quantum spaces

Cited by in corpus (2)

• Non existence of group structure on some quantum spaces
• On quantum semigroup actions on finite quantum spaces