"About 40 years ago, in the study of quantum s … , in particular in the framework of the … , new algebraic structures arose, the generalizations of which were later called quantum groups … The Yang-Baxter equations became a unifying basis of all these investigations. The most important nontrivial examples of quantum groups are quantizations (or deformations) of ordinary classical s and algebras (more precisely, one considers the deformations of the algebra of functions of a Lie group and the universal enveloping of a Lie algebra). The quantization is accompanied by the introduction of an additional parameter q (the deformation parameter), which plays a role analogous to the role of in quantum mechanics. In the limit q → 1, the quantum groups and algebras go over into the classical ones."

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Quantum mechanicsEquations of physics
Original Language: English
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Alexey Petrovich Isaev, (181 pp.; quote from p. 4)

https://en.wikiquote.org/wiki/Yang%E2%80%93Baxter_equation

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Quantum mechanicsEquations of physics

Yang–Baxter equation

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