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 ?
For any restricted Lie subalgebra L of g, we denote by [u.
alpha]] is a Lie subalgebra of g; it is clear that s is restricted.
greater than or equal to]0], this commutative complex Lie subalgebra [C.
The deformation and the evolution equations are determined by a splitting of g in the direct sum of two Lie subalgebras, like in the Adler-Kostant-Symes Theorem (see [1]).
MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]) is a Lie subalgebra of [el.
And for a general connected solvable group S, the Lie subalgebra t [intersection] [s, s] is always central in s.
K] (A) on A over K is equal to the Lie subalgebra of K <A> generated by A.
Q] which is the image of a rational Lie subalgebra of [g.
The index [lambda] is a dominant weight for the simple Lie subalgebra obtained by removing the affine node.
It is a Lie subalgebra of H under the commutator bracket.