Abstract
This chapter focuses on the quantum groups and integrable models. The main source of motivation for quantum groups was the Quantum Inverse Scattering Method (QISM). Quantum Lie groups and quantum Lie algebras appeared afterwards as abstraction of concrete algebraic constructions constituting the mathematical formalism of QISM. One can also define the quantum exterior algebras of the quantum Euclidean and symplectic spaces and introduce the algebras of functions on the quantum homogeneous spaces.
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