Free wreath product by the quantum permutation group

Mathematics – Quantum Algebra

Scientific paper

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18 pages

Scientific paper

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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