On the symmetries of integrable systems with boundaries

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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 languageEnglish
Pages (from-to)1397-1402
Number of pages6
JournalCzechoslovak Journal of Physics
Issue number11
Publication statusPublished - 1 Nov 2005


  • hep-th


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