Coordinate Bethe Ans\"atze for non-diagonal boundaries
  Talk given at "Quantum Integrable Systems and Geometry" (3-7 September 2012, Olhao, Portugal) and based on joint works with S. Belliard, N. Crampe and D. Simon, see arXiv:1009.4119, arXiv:1105.4119, arXiv:1106.3264 and arXiv:1209.4269.   This short note presents only the basic ideas of the technique, and does not attend to give a general overview of the subject. Interested readers should refer to the original papers and references therein. 
E. Ragoucy
math-ph math.MP