Free Wreath Product by the Quantum Permutation Group |
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| Authors: | Julien Bichon |
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| Institution: | (1) Laboratoire de Mathématiques Appliquées, Université de Pau et des Pays de l'Adour, IPRA, Avenue de l'université, 64000 Pau, France. e-mail |
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| Abstract: | Let A be a compact quantum group, let n N
* and let A
aut(X
n
) be the quantum permutation group on n letters. A free wreath product construction A*w
A
aut(X
n
) is introduced. This construction 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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| Keywords: | quantum permutation group wreath product free product graph automorphism |
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