nLab Sophus Lie

Marius Sophus Lie (1842–1899) was a pioneer of study of (and almost solely devoted to) the groups of continuous and smooth transformations, mainly motivated by symmetries of differential equations. He is considered a founder of the theory of Lie groups and Lie algebras, whose global theory however has been completed only with works of Élie Cartan. See also Lie groupoid, Lie's three theorems, Lie theory.

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