Explore the intricacies of the algebraic Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms through the lens of Uq(sl2) symmetry in this 48-minute lecture by D. Chernyak from ENS Paris. Delve into the fascinating world of integrability in condensed matter physics and quantum field theory as the speaker unravels the complexities of this advanced topic, providing valuable insights for researchers and advanced students in the field.