Baxterization of Solutions to Reflection Equation with Hecke R-matrix
نویسندگان
چکیده
منابع مشابه
Hecke Algebra Solutions to the Reflection Equation
We construct solutions to Sklyanin's reeection equation in the case in which the bulk Yang-Baxter solution is of Hecke algebra type. Each solution constitutes an extension of the Hecke algebra together with a spectral parameter dependent boundary operator, K(). We solve for the deening relations of the extension, and for the spectral parameter dependence of the boundary operator. Finding concre...
متن کاملa comparison of teachers and supervisors, with respect to teacher efficacy and reflection
supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...
15 صفحه اولHecke algebraic approach to the reflection equation for spin chains
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.
متن کاملAffine 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...
متن کاملHecke 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2006
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-005-0043-5