On the structure of quantum permutation groups |
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| Authors: | Teodor Banica Sergiu Moroianu |
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| Affiliation: | Laboratoire Emile Picard, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France ; Institutul de Matematica al Academiei Române, P.O. Box 1-764, RO-014700 Bucuresti, Romania |
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| Abstract: | The quantum permutation group of the set  corresponds to the Hopf algebra  . This is an algebra constructed with generators and relations, known to be isomorphic to  for  , and to be infinite dimensional for  . In this paper we find an explicit representation of the algebra  , related to Clifford algebras. For  the representation is faithful in the discrete quantum group sense. |
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| Keywords: | Hopf algebra magic biunitary matrix inner faithful representation |
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