Lie algebra isomorphism

Lie algebra isomorphism theorems

The isomorphism theorems for Lie algebras are expressed as follows.

First isomorphism theorem

Let be a Lie algebra homomorphism. Then the quotient by the kernel is isomorphic to the image: #m/thm/lie

Second isomorphism theorem

Let . Then #m/thm/lie

Third isomorphism theorem

Let be nested ideals. Then and #m/thm/lie

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