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Linear Lie algebra

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In algebra, a linear Lie algebra is a subalgebra of the Lie algebra ${\mathfrak {gl}}(V)$ consisting of endomorphisms of V. In other words, a linear Lie algebra is the image of a Lie algebra representation.

References

Jacobson, Nathan, Lie algebras, Republication of the 1962 original. Dover Publications, Inc., New York, 1979. ISBN 0-486-63832-4

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