Deformation quantization, which gives a development of quantum mechanics independent
of the operator algebra formulation, and quantum groups, which arose from the inverse
scattering method and a study of Yang–Baxter equations, share a common idea abstracted
earlier in algebraic deformation theory: that algebraic objects have infinitesimal
deformations which may point in the direction of certain continuous global deformations,
ie,“quantizations.” In deformation quantization the algebraic object is the algebra of …