Linked from

The 12 pages that link to Sophus Lie, each with the reason it gives.

• Group theoryRelated: His work extended group methods to continuous symmetries.

• Élie CartanRelated: Cartan completed and extended Lie’s program by developing the structure theory of Lie groups and algebras.

• Felix KleinRelated: Lie’s groups supplied a powerful algebraic counterpart to the geometries Klein sought to classify.

• Lie algebraRelated: His work established the framework from which Lie algebras took their name.

• Évariste GaloisRelated: Lie explicitly pursued an analogue of Galois's theory for differential equations.

• Camille JordanRelated: Lie’s transformation groups developed alongside Jordan’s work on finite groups and substitutions.

• Symplectic geometryRelated: Lie's study of transformations connects symmetries with Hamiltonian flows.

• Lie's third theoremRelated: His program sought to relate infinitesimal transformations to global groups.

• Baker–Campbell–Hausdorff formulaRelated: The formula serves the local group-and-algebra framework developed from his work.

• Engel's theoremRelated: Engel's theorem belongs to the algebraic theory that grew from Lie's work.

• Lie product formulaRelated: The formula bears Lie’s name through its connection to exponentiating sums in Lie theory.

• Closed-subgroup theoremRelated: The theorem resolves a structural question in the theory Lie initiated.