The hyperoctahedral quantum group
Teodor Banica, Julien Bichon, Benoit Collins
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 Hn+, enlarges Wang's series Sn+,On+,Un+.
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