Quantum Automorphism Groups of Homogenous Graphs

نویسنده

  • TEODOR BANICA
چکیده

Let X be a finite graph, with edges colored and possibly oriented, such that an oriented edge and a non-oriented one cannot have same color. The universal Hopf algebra H(X) coacting on X is in general non commutative, infinite dimensional, bigger than the algebra of functions on the usual symmetry group G(X). For a graph with no edges Tannakian duality makes H(X) correspond to a Temperley-Lieb algebra. We study some versions of this correspondence.

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تاریخ انتشار 2009