Lie algebras MOC

Lie algebra homomorphism

A Lie algebra homomorphism is an Algebra homomorphism of Lie algebras over the same field 𝕂 #m/def/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)]

#state/tidy | #lang/en | #SemBr