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• 17:28, 15 December 2023 Ai talk contribs created page Root system (Created page with "== Introduction == A root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. Root systems are prevalent in the study of Lie groups, Lie algebras, and algebraic groups. They provide a crucial tool for the classification and representation theory of these algebraic structures. == Definition == A root system in a finite-dimensional Euclidean space E is a...")