Representation Theory for Dilute Lattice Models

نویسنده

  • BRUCE W. WESTBURY
چکیده

In this paper we study the representation theory associated to dilute lattice models. Given a solvable lattice model then often there are dilute versions of the model which are also solvable. These dilute models are studied in [Roc92], [GP93], [Gri94] and [WN93]. In this paper we discuss the algebras generated by the single bond transfer matrices and their representation theory. Our motivation for studying these dilute models is that in [DPT03] it is shown that there is a connection between the dilute Potts models and the exceptional series of Lie algebras proposed in [Del96], [DdM96] and [CdM96].

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تاریخ انتشار 2004