From affine Hecke algebras to boundary symmetries

  title={From affine Hecke algebras to boundary symmetries},
  author={Anastasia Doikou},
Solutions of the reflection equation for the Uq(ŝln) case are obtained by implementing certain realizations of the affine Hecke algebra. The boundary non-local charges associated to non-diagonal 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 essentially a remnant of the Uq(gln) algebra. LAPTH-1066/04 September 2004 e-mail: