Quantum Automorphism Groups of Small Metric Spaces
نویسنده
چکیده
To any finite metric space X we associate the universal Hopf C-algebra H coacting on X. We prove that spaces X having at most 7 points fall into one of the following classes: (1) the coaction of H is not transitive; (2) H is the algebra of functions on the automorphism group of X; (3) X is a simplex and H corresponds to a Temperley-Lieb algebra; (4) X is a product of simplices and H corresponds to a Fuss-Catalan algebra.
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