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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-06-30 and was most recently seen on 2026-06-30.
In Lie theory and representation theory, the Levi decomposition, conjectured by Wilhelm Killing and Élie Cartan and proved by Eugenio Elia Levi, states that any finite-dimensional Lie algebra g over a field of characteristic zero is the semidirect product of a solvable ideal and a semisimple subalgebra.
One is its radical, a maximal solvable ideal, and the other is a semisimple subalgebra, called a Levi subalgebra.
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