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Quantum groups acting on 4 points

Quantum groups acting on 4 points

We classify the compact quantum groups acting on 4 points. These are the quantum subgroups of the quantum permutation group ๐“ 4. Our main tool is a new presentation for the algebra C(๐“ 4), corresponding to an isomorphism of type ๐“ 4 โ‰ƒ SOโ€“1(3). The quantum subgroups of ๐“ 4 are subject to a โ€ฆ