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- W2949465734 abstract "If H is a Hopf algebra whose square of the antipode is the identity, $vinl (V)otimes H$ is a corepresentation, and $pi :Htol (W)$ is a representation, then $u=(idotimespi)v$ satisfies the equation $(totimes id)u^{-1}=((totimes id)u)^{-1}$ of the vertex models for subfactors. A universal construction shows that any solution $u$ of this equatio n arises in this way. A more elaborate construction shows that there exists a ``minimal'' triple $(H,v,pi)$ satisfying $(idotimespi)v=u$. This paper is devoted to the study of this latter construction of Hopf algebras. If $u$ is unitary we construct a $c^*$-norm on $H$ and we find a new description of the standard invariant of the subfactor associated to $u$. We discuss also the ``twisted'' (i.e. $S^2neq id$) case." @default.
- W2949465734 created "2019-06-27" @default.
- W2949465734 creator A5025328470 @default.
- W2949465734 date "1998-04-03" @default.
- W2949465734 modified "2023-09-26" @default.
- W2949465734 title "Hopf algebras and subfactors associated to vertex models" @default.
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