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 ?
That a Lie algebra homomorphism f between restricted Lie algebras is restricted if f ([x.
1](X)), we obtain a graded Lie algebra homomorphism
It induces a Lie algebra homomorphism (denoted also by [rho]) from [GAMMA](E) to X(M), (iii) For any sections [s.