Free wreath product by the quantum permutation group
classification
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quantumgroupalgebrafreepermutationproductwreathautomorphism
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A free wreath product construction of a Hopf algebra (or of a Woronowicz algebra) by Wang's quantum permutation group is done. It provides new examples of quantum groups and is useful to describe the quantum automorphism group of the n-times disjoint union of a finite connected graph.
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