Lie algebras MOC

Lie algebra homomorphism

A Lie algebra homomorphism is an Algebra homomorphism of Lie algebras over the same field 𝕂 lie i.e. 𝑓 :𝔤 →𝔥 such that for 𝑥,𝑦 ∈𝔤 and 𝜆,𝜇 ∈𝕂

1. 𝑓(𝜆𝑥 +𝜇𝑦) =𝜆𝑓(𝑥) +𝜇𝑓(𝑦)
2. 𝑓([𝑥,𝑦]) =[𝑓(𝑥),𝑓(𝑦)]

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