Hecke algebraic approach to the reflection equation for spin chains
نویسنده
چکیده
We use the structural similarity of certain Coxeter Artin Systems to the Yang–Baxter and Reflection Equations to convert representations of these systems into new solutions of the Reflection Equation. We construct certain Bethe ansatz states for these solutions, using a parameterisation suggested by abstract representation theory.
منابع مشابه
Hecke Symmetries and Characteristic Relations on Reflection Equation Algebras
We discuss how properties of Hecke symmetry (i.e., Hecke type R-matrix) influence the algebraic structure of the corresponding Reflection Equation (RE) algebra. Analogues of the Newton relations and Cayley-Hamilton theorem for the matrix of generators of the RE algebra related to a finite rank even Hecke symmetry are derived.
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تاریخ انتشار 2002