Hecke Symmetries and Characteristic Relations on Reflection Equation Algebras
نویسنده
چکیده
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.
منابع مشابه
Affine Hecke algebras, reflection equation and boundary symmetries
Solutions of the reflection equation for the Uq(ŝln) case are obtained by implementing certain realisations of the affine Hecke algebra. The boundary non–local charges associated to nondiagonal solutions of the reflection equation are constructed systematically, and the symmetry of the corresponding open spin chain is investigated. We prove that the symmetry of the open spin chain is essentiall...
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