Journal of the Ramanujan Mathematical Society

Teodor Banica ¹, Julien Bichon ², Benoit Collins ³

Affiliations
1 Department of Mathematics, Paul Sabatier University, 118 Route de Narbonne, 31062 Toulouse, FR
2 Department of Mathematics, Blaise Pascal University, Campus des Cezeaux, 63177 Aubiere Cedex, FR
3 Department of Mathematics, Claude Bernard University, 43 bd du 11 November 1918, 69622 Villeurbanne, FR

Abstract

We consider the hypercube in Rⁿ, and show that its quantum symmetry group is a q-deformation of On at q = −1. Then we consider the graph formed by n segments, and show that its quantum symmetry group is free in some natural sense. This latter quantum group, denoted H^{+_n , enlarges Wang’s series S+_n , O+_n , U+_n.}

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