Hopf algebras and subfactors associated to vertex models
| dc.creator | Banica, Teodor | |
| dc.date | 1998-04-03 | |
| dc.date.accessioned | 2026-07-07T05:24:18Z | |
| dc.date.available | 2026-07-07T05:24:18Z | |
| dc.description | If H is a Hopf algebra whose square of the antipode is the identity, $v\inł(V)\otimes H$ is a corepresentation, and $π:H\toł(W)$ is a representation, then $u=(id\otimesπ)v$ satisfies the equation $(t\otimes id)u^{-1}=((t\otimes id)u)^{-1}$ 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 $(H,v,π)$ satisfying $(id\otimesπ)v=u$. 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. $S^2\neq id$) case. | |
| dc.description | 25 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/9804016 | |
| dc.identifier | http://arxiv.org/abs/math/9804016 | |
| dc.identifier | J. Funct. Anal. 159 (1998), 243-266 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76786 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Operator Algebras | |
| dc.title | Hopf algebras and subfactors associated to vertex models | |
| dc.type | text |