# On the symmetries of integrable systems with boundaries

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## Abstract

We employ appropriate realizations of the affine Hecke algebra and we recover previously known non-diagonal solutions of the reflection equation for the $U_{q}(\hat{gl_n})$ case. With the help of linear intertwining relations involving the aforementioned solutions of the reflection equation, the symmetry of the open spin chain with a particular choice of the left boundary is exhibited. The symmetry of the corresponding local Hamiltonian is also explored.
Original language English 1397-1402 6 Czechoslovak Journal of Physics 55 11 https://doi.org/10.1007/s10582-006-0016-7 Published - 1 Nov 2005

• hep-th