## Quantum automorphism groups of homogeneous graphs

by
Teodor Banica

Venue: | J. Funct. Anal |

Citations: | 23 - 11 self |

### BibTeX

@ARTICLE{Banica_quantumautomorphism,

author = {Teodor Banica},

title = {Quantum automorphism groups of homogeneous graphs},

journal = {J. Funct. Anal},

year = {},

pages = {243--280}

}

### OpenURL

### Abstract

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.