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On the symmetries of integrable systems with boundaries

Anastasia Doikou
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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.

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Anastasia Doikou. 2005-09-21. On the symmetries of integrable systems with boundaries. https://doi.org/10.1007/s10582-006-0016-7

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