Lie algebra

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Lie algebra

[′lē ‚al·jə·brə]
(mathematics)
The algebra of vector fields on a manifold with additive operation given by pointwise sum and multiplication by the Lie bracket.
References in periodicals archive ?
The index of an n-dimensional Abelian Lie algebra is n.
An Abelian Lie algebra L spanned by the vector fields [Z.