Free wreath product by the quantum permutation group

2001/07/04 by Julien Bichon, Bichon, Julien · 3 citations
Mathematics · #16W30 #46L89 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16W30 #msc:46L89

paper · pdf · doi:10.48550/arxiv.math/0107029

18 pages

arxiv created 2001/07/04 · arxiv updated 2009/11/30

Abstract

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.

Cited by

• On free wreath products of classical groups
• Some Results on Bichon's Quantum Automorphism Group of Graphs
• Quantum symmetry of 3-transitive graphs

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