Integrable quantum field theories and integrable lattice models
have been studied for several decades, but during the last few
years new ideas have emerged that have considerably changed the
topic. The first group of papers published here is concerned with
integrable structures of quantum lattice models related to quantum
group symmetries. The second group deals with the description of
integrable structures in two-dimensional quantum field theories,
especially boundary problems, thermodynamic Bethe ansatz and form
factor problems. Finally, a major group of papers is concerned with
the purely mathematical framework that underlies the
physically-motivated research on quantum integrable models,
including elliptic deformations of groups, representation theory of
non-compact quantum groups, and quantization of moduli spaces.
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