Commutator

Linear commutator

The linear commutator is a particular example of a Commutator. Given two linear endomorphisms 𝐴,𝐵 ∈𝖵𝖾𝖼𝗍𝕂(𝑉,𝑉) the commutator is defined as linalg

[𝐴,𝐵]=𝐴𝐵−𝐵𝐴

This defines a Lie algebra called [[General linear Lie algebra|𝔤𝔩⁡𝑉]].

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