Quantum automorphism groups of small metric spaces

• Autores: Teodor Banica
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 219, Nº 1, 2005, págs. 27-52
• Idioma: inglés
• DOI: 10.2140/pjm.2005.219.27
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• Resumen

  • To any ?nite 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.