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We determine the coribbon structures of some finite dimensional braided Hopf algebras generated by 2 × 2-matrix coalgebras constructed by S. Suzuki. As a consequence, we see that such a Hopf algebra has a coribbon structure if and only if it is of Kac-Paljutkin type.

The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras