Drinfeld-Sokolov reduction is a process used in the study of integrable systems that allows the construction of a hierarchy of integrable equations from a given affine Lie algebra. This reduction technique involves identifying a suitable subalgebra and reducing the problem to a lower-dimensional setting, which simplifies the analysis and solution of integrable models. It connects deeply with infinite-dimensional geometry, providing tools for understanding the structure and symmetries of integrable systems.
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